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Finding the Third Proportional to 144,501 and 230,129

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Solution

The third proportional to 144,501 and 230,129 is: 366,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,501 : 230,129 = 230,129 : x
  2. Step 2: Convert to fraction form
    144,501/230,129 = 230,129/x
  3. Step 3: Cross multiply
    144,501x = 230,129 × 230,129
  4. Step 4: Simplify right side
    144,501x = 52,959,356,641
  5. Step 5: Solve for x
    x = 52,959,356,641/144,501
  6. Step 6: Final answer
    x = 366,498.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.