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Finding the Third Proportional to 240,003 and 371,709

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Solution

The third proportional to 240,003 and 371,709 is: 575,691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,003 : 371,709 = 371,709 : x
  2. Step 2: Convert to fraction form
    240,003/371,709 = 371,709/x
  3. Step 3: Cross multiply
    240,003x = 371,709 × 371,709
  4. Step 4: Simplify right side
    240,003x = 138,167,580,681
  5. Step 5: Solve for x
    x = 138,167,580,681/240,003
  6. Step 6: Final answer
    x = 575,691.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.