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Finding the Third Proportional to 160,864 and 351,528

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Solution

The third proportional to 160,864 and 351,528 is: 768,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,864 : 351,528 = 351,528 : x
  2. Step 2: Convert to fraction form
    160,864/351,528 = 351,528/x
  3. Step 3: Cross multiply
    160,864x = 351,528 × 351,528
  4. Step 4: Simplify right side
    160,864x = 123,571,934,784
  5. Step 5: Solve for x
    x = 123,571,934,784/160,864
  6. Step 6: Final answer
    x = 768,176.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.