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Finding the Third Proportional to 191,575.13 and 410,675.06

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Solution

The third proportional to 191,575.13 and 410,675.06 is: 880,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,575.13 : 410,675.06 = 410,675.06 : x
  2. Step 2: Convert to fraction form
    191,575.13/410,675.06 = 410,675.06/x
  3. Step 3: Cross multiply
    191,575.13x = 410,675.06 × 410,675.06
  4. Step 4: Simplify right side
    191,575.13x = 168,654,006,959.38
  5. Step 5: Solve for x
    x = 168,654,006,959.38/191,575.13
  6. Step 6: Final answer
    x = 880,354.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.