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Finding the Third Proportional to 107,020 and 234,340

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Solution

The third proportional to 107,020 and 234,340 is: 513,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,020 : 234,340 = 234,340 : x
  2. Step 2: Convert to fraction form
    107,020/234,340 = 234,340/x
  3. Step 3: Cross multiply
    107,020x = 234,340 × 234,340
  4. Step 4: Simplify right side
    107,020x = 54,915,235,600
  5. Step 5: Solve for x
    x = 54,915,235,600/107,020
  6. Step 6: Final answer
    x = 513,130.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.