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Finding the Third Proportional to 143,062 and 226,486

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Solution

The third proportional to 143,062 and 226,486 is: 358,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,062 : 226,486 = 226,486 : x
  2. Step 2: Convert to fraction form
    143,062/226,486 = 226,486/x
  3. Step 3: Cross multiply
    143,062x = 226,486 × 226,486
  4. Step 4: Simplify right side
    143,062x = 51,295,908,196
  5. Step 5: Solve for x
    x = 51,295,908,196/143,062
  6. Step 6: Final answer
    x = 358,557.19

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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.