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Finding the Third Proportional to 162,158 and 348,292

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Solution

The third proportional to 162,158 and 348,292 is: 748,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,158 : 348,292 = 348,292 : x
  2. Step 2: Convert to fraction form
    162,158/348,292 = 348,292/x
  3. Step 3: Cross multiply
    162,158x = 348,292 × 348,292
  4. Step 4: Simplify right side
    162,158x = 121,307,317,264
  5. Step 5: Solve for x
    x = 121,307,317,264/162,158
  6. Step 6: Final answer
    x = 748,080.99

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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.