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Finding the Third Proportional to 141,349 and 218,585

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Solution

The third proportional to 141,349 and 218,585 is: 338,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,349 : 218,585 = 218,585 : x
  2. Step 2: Convert to fraction form
    141,349/218,585 = 218,585/x
  3. Step 3: Cross multiply
    141,349x = 218,585 × 218,585
  4. Step 4: Simplify right side
    141,349x = 47,779,402,225
  5. Step 5: Solve for x
    x = 47,779,402,225/141,349
  6. Step 6: Final answer
    x = 338,024.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.