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Finding the Third Proportional to 141,584 and 304,154

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Solution

The third proportional to 141,584 and 304,154 is: 653,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,584 : 304,154 = 304,154 : x
  2. Step 2: Convert to fraction form
    141,584/304,154 = 304,154/x
  3. Step 3: Cross multiply
    141,584x = 304,154 × 304,154
  4. Step 4: Simplify right side
    141,584x = 92,509,655,716
  5. Step 5: Solve for x
    x = 92,509,655,716/141,584
  6. Step 6: Final answer
    x = 653,390.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.