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Finding the Third Proportional to 153,246 and 230,076

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Solution

The third proportional to 153,246 and 230,076 is: 345,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,246 : 230,076 = 230,076 : x
  2. Step 2: Convert to fraction form
    153,246/230,076 = 230,076/x
  3. Step 3: Cross multiply
    153,246x = 230,076 × 230,076
  4. Step 4: Simplify right side
    153,246x = 52,934,965,776
  5. Step 5: Solve for x
    x = 52,934,965,776/153,246
  6. Step 6: Final answer
    x = 345,424.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.