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Finding the Third Proportional to 157,324 and 342,304

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Solution

The third proportional to 157,324 and 342,304 is: 744,781.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,324 : 342,304 = 342,304 : x
  2. Step 2: Convert to fraction form
    157,324/342,304 = 342,304/x
  3. Step 3: Cross multiply
    157,324x = 342,304 × 342,304
  4. Step 4: Simplify right side
    157,324x = 117,172,028,416
  5. Step 5: Solve for x
    x = 117,172,028,416/157,324
  6. Step 6: Final answer
    x = 744,781.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.