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Finding the Third Proportional to 160,034 and 348,868

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Solution

The third proportional to 160,034 and 348,868 is: 760,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,034 : 348,868 = 348,868 : x
  2. Step 2: Convert to fraction form
    160,034/348,868 = 348,868/x
  3. Step 3: Cross multiply
    160,034x = 348,868 × 348,868
  4. Step 4: Simplify right side
    160,034x = 121,708,881,424
  5. Step 5: Solve for x
    x = 121,708,881,424/160,034
  6. Step 6: Final answer
    x = 760,518.90

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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.