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Finding the Third Proportional to 155,748 and 346,542

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Solution

The third proportional to 155,748 and 346,542 is: 771,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,748 : 346,542 = 346,542 : x
  2. Step 2: Convert to fraction form
    155,748/346,542 = 346,542/x
  3. Step 3: Cross multiply
    155,748x = 346,542 × 346,542
  4. Step 4: Simplify right side
    155,748x = 120,091,357,764
  5. Step 5: Solve for x
    x = 120,091,357,764/155,748
  6. Step 6: Final answer
    x = 771,061.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.