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Finding the Third Proportional to 144,090 and 231,513.75

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Solution

The third proportional to 144,090 and 231,513.75 is: 371,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,090 : 231,513.75 = 231,513.75 : x
  2. Step 2: Convert to fraction form
    144,090/231,513.75 = 231,513.75/x
  3. Step 3: Cross multiply
    144,090x = 231,513.75 × 231,513.75
  4. Step 4: Simplify right side
    144,090x = 53,598,616,439.06
  5. Step 5: Solve for x
    x = 53,598,616,439.06/144,090
  6. Step 6: Final answer
    x = 371,980.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.