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Finding the Third Proportional to 223,256.25 and 526,918.50

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Solution

The third proportional to 223,256.25 and 526,918.50 is: 1,243,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,256.25 : 526,918.50 = 526,918.50 : x
  2. Step 2: Convert to fraction form
    223,256.25/526,918.50 = 526,918.50/x
  3. Step 3: Cross multiply
    223,256.25x = 526,918.50 × 526,918.50
  4. Step 4: Simplify right side
    223,256.25x = 277,643,105,642.25
  5. Step 5: Solve for x
    x = 277,643,105,642.25/223,256.25
  6. Step 6: Final answer
    x = 1,243,607.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.