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Finding the Third Proportional to 152,637 and 224,541

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Solution

The third proportional to 152,637 and 224,541 is: 330,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,637 : 224,541 = 224,541 : x
  2. Step 2: Convert to fraction form
    152,637/224,541 = 224,541/x
  3. Step 3: Cross multiply
    152,637x = 224,541 × 224,541
  4. Step 4: Simplify right side
    152,637x = 50,418,660,681
  5. Step 5: Solve for x
    x = 50,418,660,681/152,637
  6. Step 6: Final answer
    x = 330,317.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.