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Finding the Third Proportional to 107,390 and 230,332

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Solution

The third proportional to 107,390 and 230,332 is: 494,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,390 : 230,332 = 230,332 : x
  2. Step 2: Convert to fraction form
    107,390/230,332 = 230,332/x
  3. Step 3: Cross multiply
    107,390x = 230,332 × 230,332
  4. Step 4: Simplify right side
    107,390x = 53,052,830,224
  5. Step 5: Solve for x
    x = 53,052,830,224/107,390
  6. Step 6: Final answer
    x = 494,020.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.