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Finding the Third Proportional to 144,507 and 230,137

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Solution

The third proportional to 144,507 and 230,137 is: 366,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,507 : 230,137 = 230,137 : x
  2. Step 2: Convert to fraction form
    144,507/230,137 = 230,137/x
  3. Step 3: Cross multiply
    144,507x = 230,137 × 230,137
  4. Step 4: Simplify right side
    144,507x = 52,963,038,769
  5. Step 5: Solve for x
    x = 52,963,038,769/144,507
  6. Step 6: Final answer
    x = 366,508.47

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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.