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Finding the Third Proportional to 188,033 and 291,294

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Solution

The third proportional to 188,033 and 291,294 is: 451,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,033 : 291,294 = 291,294 : x
  2. Step 2: Convert to fraction form
    188,033/291,294 = 291,294/x
  3. Step 3: Cross multiply
    188,033x = 291,294 × 291,294
  4. Step 4: Simplify right side
    188,033x = 84,852,194,436
  5. Step 5: Solve for x
    x = 84,852,194,436/188,033
  6. Step 6: Final answer
    x = 451,262.25

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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.