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Finding the Third Proportional to 160,358 and 346,139

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Solution

The third proportional to 160,358 and 346,139 is: 747,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,358 : 346,139 = 346,139 : x
  2. Step 2: Convert to fraction form
    160,358/346,139 = 346,139/x
  3. Step 3: Cross multiply
    160,358x = 346,139 × 346,139
  4. Step 4: Simplify right side
    160,358x = 119,812,207,321
  5. Step 5: Solve for x
    x = 119,812,207,321/160,358
  6. Step 6: Final answer
    x = 747,154.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.