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Finding the Third Proportional to 157,376 and 222,528

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Solution

The third proportional to 157,376 and 222,528 is: 314,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,376 : 222,528 = 222,528 : x
  2. Step 2: Convert to fraction form
    157,376/222,528 = 222,528/x
  3. Step 3: Cross multiply
    157,376x = 222,528 × 222,528
  4. Step 4: Simplify right side
    157,376x = 49,518,710,784
  5. Step 5: Solve for x
    x = 49,518,710,784/157,376
  6. Step 6: Final answer
    x = 314,652.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.