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Finding the Third Proportional to 160,373 and 348,066

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Solution

The third proportional to 160,373 and 348,066 is: 755,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,373 : 348,066 = 348,066 : x
  2. Step 2: Convert to fraction form
    160,373/348,066 = 348,066/x
  3. Step 3: Cross multiply
    160,373x = 348,066 × 348,066
  4. Step 4: Simplify right side
    160,373x = 121,149,940,356
  5. Step 5: Solve for x
    x = 121,149,940,356/160,373
  6. Step 6: Final answer
    x = 755,426.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.