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Finding the Third Proportional to 111,160 and 243,402

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Solution

The third proportional to 111,160 and 243,402 is: 532,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,160 : 243,402 = 243,402 : x
  2. Step 2: Convert to fraction form
    111,160/243,402 = 243,402/x
  3. Step 3: Cross multiply
    111,160x = 243,402 × 243,402
  4. Step 4: Simplify right side
    111,160x = 59,244,533,604
  5. Step 5: Solve for x
    x = 59,244,533,604/111,160
  6. Step 6: Final answer
    x = 532,966.30

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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.