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Finding the Third Proportional to 152,248 and 242,460

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Solution

The third proportional to 152,248 and 242,460 is: 386,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,248 : 242,460 = 242,460 : x
  2. Step 2: Convert to fraction form
    152,248/242,460 = 242,460/x
  3. Step 3: Cross multiply
    152,248x = 242,460 × 242,460
  4. Step 4: Simplify right side
    152,248x = 58,786,851,600
  5. Step 5: Solve for x
    x = 58,786,851,600/152,248
  6. Step 6: Final answer
    x = 386,125.61

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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.