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Finding the Third Proportional to 141,654 and 304,360

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Solution

The third proportional to 141,654 and 304,360 is: 653,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,654 : 304,360 = 304,360 : x
  2. Step 2: Convert to fraction form
    141,654/304,360 = 304,360/x
  3. Step 3: Cross multiply
    141,654x = 304,360 × 304,360
  4. Step 4: Simplify right side
    141,654x = 92,635,009,600
  5. Step 5: Solve for x
    x = 92,635,009,600/141,654
  6. Step 6: Final answer
    x = 653,952.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.