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Finding the Third Proportional to 175,090 and 341,432

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Solution

The third proportional to 175,090 and 341,432 is: 665,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,090 : 341,432 = 341,432 : x
  2. Step 2: Convert to fraction form
    175,090/341,432 = 341,432/x
  3. Step 3: Cross multiply
    175,090x = 341,432 × 341,432
  4. Step 4: Simplify right side
    175,090x = 116,575,810,624
  5. Step 5: Solve for x
    x = 116,575,810,624/175,090
  6. Step 6: Final answer
    x = 665,805.08

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.