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Finding the Third Proportional to 120,590.25 and 265,237.50

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Solution

The third proportional to 120,590.25 and 265,237.50 is: 583,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,590.25 : 265,237.50 = 265,237.50 : x
  2. Step 2: Convert to fraction form
    120,590.25/265,237.50 = 265,237.50/x
  3. Step 3: Cross multiply
    120,590.25x = 265,237.50 × 265,237.50
  4. Step 4: Simplify right side
    120,590.25x = 70,350,931,406.25
  5. Step 5: Solve for x
    x = 70,350,931,406.25/120,590.25
  6. Step 6: Final answer
    x = 583,388.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.