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Finding the Third Proportional to 143,670 and 227,382

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Solution

The third proportional to 143,670 and 227,382 is: 359,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,670 : 227,382 = 227,382 : x
  2. Step 2: Convert to fraction form
    143,670/227,382 = 227,382/x
  3. Step 3: Cross multiply
    143,670x = 227,382 × 227,382
  4. Step 4: Simplify right side
    143,670x = 51,702,573,924
  5. Step 5: Solve for x
    x = 51,702,573,924/143,670
  6. Step 6: Final answer
    x = 359,870.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.