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Finding the Third Proportional to 175,117 and 341,486

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Solution

The third proportional to 175,117 and 341,486 is: 665,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,117 : 341,486 = 341,486 : x
  2. Step 2: Convert to fraction form
    175,117/341,486 = 341,486/x
  3. Step 3: Cross multiply
    175,117x = 341,486 × 341,486
  4. Step 4: Simplify right side
    175,117x = 116,612,688,196
  5. Step 5: Solve for x
    x = 116,612,688,196/175,117
  6. Step 6: Final answer
    x = 665,913.01

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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.