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Finding the Third Proportional to 158,600 and 357,124

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Solution

The third proportional to 158,600 and 357,124 is: 804,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,600 : 357,124 = 357,124 : x
  2. Step 2: Convert to fraction form
    158,600/357,124 = 357,124/x
  3. Step 3: Cross multiply
    158,600x = 357,124 × 357,124
  4. Step 4: Simplify right side
    158,600x = 127,537,551,376
  5. Step 5: Solve for x
    x = 127,537,551,376/158,600
  6. Step 6: Final answer
    x = 804,145.97

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.