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Finding the Third Proportional to 155,924 and 342,534

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Solution

The third proportional to 155,924 and 342,534 is: 752,479.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,924 : 342,534 = 342,534 : x
  2. Step 2: Convert to fraction form
    155,924/342,534 = 342,534/x
  3. Step 3: Cross multiply
    155,924x = 342,534 × 342,534
  4. Step 4: Simplify right side
    155,924x = 117,329,541,156
  5. Step 5: Solve for x
    x = 117,329,541,156/155,924
  6. Step 6: Final answer
    x = 752,479.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.