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Finding the Third Proportional to 245,293.50 and 526,051.50

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Solution

The third proportional to 245,293.50 and 526,051.50 is: 1,128,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,293.50 : 526,051.50 = 526,051.50 : x
  2. Step 2: Convert to fraction form
    245,293.50/526,051.50 = 526,051.50/x
  3. Step 3: Cross multiply
    245,293.50x = 526,051.50 × 526,051.50
  4. Step 4: Simplify right side
    245,293.50x = 276,730,180,652.25
  5. Step 5: Solve for x
    x = 276,730,180,652.25/245,293.50
  6. Step 6: Final answer
    x = 1,128,159.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.