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Finding the Third Proportional to 158,358 and 232,353

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Solution

The third proportional to 158,358 and 232,353 is: 340,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,358 : 232,353 = 232,353 : x
  2. Step 2: Convert to fraction form
    158,358/232,353 = 232,353/x
  3. Step 3: Cross multiply
    158,358x = 232,353 × 232,353
  4. Step 4: Simplify right side
    158,358x = 53,987,916,609
  5. Step 5: Solve for x
    x = 53,987,916,609/158,358
  6. Step 6: Final answer
    x = 340,923.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.