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Finding the Third Proportional to 141,338 and 307,585

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Solution

The third proportional to 141,338 and 307,585 is: 669,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,338 : 307,585 = 307,585 : x
  2. Step 2: Convert to fraction form
    141,338/307,585 = 307,585/x
  3. Step 3: Cross multiply
    141,338x = 307,585 × 307,585
  4. Step 4: Simplify right side
    141,338x = 94,608,532,225
  5. Step 5: Solve for x
    x = 94,608,532,225/141,338
  6. Step 6: Final answer
    x = 669,377.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.