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Finding the Third Proportional to 162,717.50 and 350,411

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Solution

The third proportional to 162,717.50 and 350,411 is: 754,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,717.50 : 350,411 = 350,411 : x
  2. Step 2: Convert to fraction form
    162,717.50/350,411 = 350,411/x
  3. Step 3: Cross multiply
    162,717.50x = 350,411 × 350,411
  4. Step 4: Simplify right side
    162,717.50x = 122,787,868,921
  5. Step 5: Solve for x
    x = 122,787,868,921/162,717.50
  6. Step 6: Final answer
    x = 754,607.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.