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Finding the Third Proportional to 191,569.50 and 410,663.75

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Solution

The third proportional to 191,569.50 and 410,663.75 is: 880,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,569.50 : 410,663.75 = 410,663.75 : x
  2. Step 2: Convert to fraction form
    191,569.50/410,663.75 = 410,663.75/x
  3. Step 3: Cross multiply
    191,569.50x = 410,663.75 × 410,663.75
  4. Step 4: Simplify right side
    191,569.50x = 168,644,715,564.06
  5. Step 5: Solve for x
    x = 168,644,715,564.06/191,569.50
  6. Step 6: Final answer
    x = 880,331.76

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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.