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Finding the Third Proportional to 160,354 and 348,034

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Solution

The third proportional to 160,354 and 348,034 is: 755,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,354 : 348,034 = 348,034 : x
  2. Step 2: Convert to fraction form
    160,354/348,034 = 348,034/x
  3. Step 3: Cross multiply
    160,354x = 348,034 × 348,034
  4. Step 4: Simplify right side
    160,354x = 121,127,665,156
  5. Step 5: Solve for x
    x = 121,127,665,156/160,354
  6. Step 6: Final answer
    x = 755,376.64

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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.