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Finding the Third Proportional to 145,810.13 and 231,837.19

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Solution

The third proportional to 145,810.13 and 231,837.19 is: 368,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,810.13 : 231,837.19 = 231,837.19 : x
  2. Step 2: Convert to fraction form
    145,810.13/231,837.19 = 231,837.19/x
  3. Step 3: Cross multiply
    145,810.13x = 231,837.19 × 231,837.19
  4. Step 4: Simplify right side
    145,810.13x = 53,748,481,507.91
  5. Step 5: Solve for x
    x = 53,748,481,507.91/145,810.13
  6. Step 6: Final answer
    x = 368,619.68

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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.