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Finding the Third Proportional to 141,654 and 310,524

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Solution

The third proportional to 141,654 and 310,524 is: 680,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,654 : 310,524 = 310,524 : x
  2. Step 2: Convert to fraction form
    141,654/310,524 = 310,524/x
  3. Step 3: Cross multiply
    141,654x = 310,524 × 310,524
  4. Step 4: Simplify right side
    141,654x = 96,425,154,576
  5. Step 5: Solve for x
    x = 96,425,154,576/141,654
  6. Step 6: Final answer
    x = 680,709.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.