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Finding the Third Proportional to 152,266 and 242,479

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Solution

The third proportional to 152,266 and 242,479 is: 386,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,266 : 242,479 = 242,479 : x
  2. Step 2: Convert to fraction form
    152,266/242,479 = 242,479/x
  3. Step 3: Cross multiply
    152,266x = 242,479 × 242,479
  4. Step 4: Simplify right side
    152,266x = 58,796,065,441
  5. Step 5: Solve for x
    x = 58,796,065,441/152,266
  6. Step 6: Final answer
    x = 386,140.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.