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Finding the Third Proportional to 158,200.50 and 341,262

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Solution

The third proportional to 158,200.50 and 341,262 is: 736,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,200.50 : 341,262 = 341,262 : x
  2. Step 2: Convert to fraction form
    158,200.50/341,262 = 341,262/x
  3. Step 3: Cross multiply
    158,200.50x = 341,262 × 341,262
  4. Step 4: Simplify right side
    158,200.50x = 116,459,752,644
  5. Step 5: Solve for x
    x = 116,459,752,644/158,200.50
  6. Step 6: Final answer
    x = 736,152.87

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