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Finding the Third Proportional to 155,534 and 241,294

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Solution

The third proportional to 155,534 and 241,294 is: 374,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,534 : 241,294 = 241,294 : x
  2. Step 2: Convert to fraction form
    155,534/241,294 = 241,294/x
  3. Step 3: Cross multiply
    155,534x = 241,294 × 241,294
  4. Step 4: Simplify right side
    155,534x = 58,222,794,436
  5. Step 5: Solve for x
    x = 58,222,794,436/155,534
  6. Step 6: Final answer
    x = 374,341.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.