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Finding the Third Proportional to 161,565.75 and 345,123.75

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Solution

The third proportional to 161,565.75 and 345,123.75 is: 737,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,565.75 : 345,123.75 = 345,123.75 : x
  2. Step 2: Convert to fraction form
    161,565.75/345,123.75 = 345,123.75/x
  3. Step 3: Cross multiply
    161,565.75x = 345,123.75 × 345,123.75
  4. Step 4: Simplify right side
    161,565.75x = 119,110,402,814.06
  5. Step 5: Solve for x
    x = 119,110,402,814.06/161,565.75
  6. Step 6: Final answer
    x = 737,225.57

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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.