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Finding the Third Proportional to 162,915.75 and 348,612.75

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Solution

The third proportional to 162,915.75 and 348,612.75 is: 745,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,915.75 : 348,612.75 = 348,612.75 : x
  2. Step 2: Convert to fraction form
    162,915.75/348,612.75 = 348,612.75/x
  3. Step 3: Cross multiply
    162,915.75x = 348,612.75 × 348,612.75
  4. Step 4: Simplify right side
    162,915.75x = 121,530,849,462.56
  5. Step 5: Solve for x
    x = 121,530,849,462.56/162,915.75
  6. Step 6: Final answer
    x = 745,973.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.