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Finding the Third Proportional to 107,332 and 234,168

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Solution

The third proportional to 107,332 and 234,168 is: 510,888.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,332 : 234,168 = 234,168 : x
  2. Step 2: Convert to fraction form
    107,332/234,168 = 234,168/x
  3. Step 3: Cross multiply
    107,332x = 234,168 × 234,168
  4. Step 4: Simplify right side
    107,332x = 54,834,652,224
  5. Step 5: Solve for x
    x = 54,834,652,224/107,332
  6. Step 6: Final answer
    x = 510,888.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.