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Finding the Third Proportional to 157,416 and 245,537

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Solution

The third proportional to 157,416 and 245,537 is: 382,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,416 : 245,537 = 245,537 : x
  2. Step 2: Convert to fraction form
    157,416/245,537 = 245,537/x
  3. Step 3: Cross multiply
    157,416x = 245,537 × 245,537
  4. Step 4: Simplify right side
    157,416x = 60,288,418,369
  5. Step 5: Solve for x
    x = 60,288,418,369/157,416
  6. Step 6: Final answer
    x = 382,987.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.