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Finding the Third Proportional to 155,537 and 341,207

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Solution

The third proportional to 155,537 and 341,207 is: 748,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,537 : 341,207 = 341,207 : x
  2. Step 2: Convert to fraction form
    155,537/341,207 = 341,207/x
  3. Step 3: Cross multiply
    155,537x = 341,207 × 341,207
  4. Step 4: Simplify right side
    155,537x = 116,422,216,849
  5. Step 5: Solve for x
    x = 116,422,216,849/155,537
  6. Step 6: Final answer
    x = 748,517.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.