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Finding the Third Proportional to 155,490 and 247,536

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Solution

The third proportional to 155,490 and 247,536 is: 394,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,490 : 247,536 = 247,536 : x
  2. Step 2: Convert to fraction form
    155,490/247,536 = 247,536/x
  3. Step 3: Cross multiply
    155,490x = 247,536 × 247,536
  4. Step 4: Simplify right side
    155,490x = 61,274,071,296
  5. Step 5: Solve for x
    x = 61,274,071,296/155,490
  6. Step 6: Final answer
    x = 394,070.82

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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.