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Finding the Third Proportional to 161,792 and 244,952

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Solution

The third proportional to 161,792 and 244,952 is: 370,855.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,792 : 244,952 = 244,952 : x
  2. Step 2: Convert to fraction form
    161,792/244,952 = 244,952/x
  3. Step 3: Cross multiply
    161,792x = 244,952 × 244,952
  4. Step 4: Simplify right side
    161,792x = 60,001,482,304
  5. Step 5: Solve for x
    x = 60,001,482,304/161,792
  6. Step 6: Final answer
    x = 370,855.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.