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Finding the Third Proportional to 163,527 and 350,697

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Solution

The third proportional to 163,527 and 350,697 is: 752,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,527 : 350,697 = 350,697 : x
  2. Step 2: Convert to fraction form
    163,527/350,697 = 350,697/x
  3. Step 3: Cross multiply
    163,527x = 350,697 × 350,697
  4. Step 4: Simplify right side
    163,527x = 122,988,385,809
  5. Step 5: Solve for x
    x = 122,988,385,809/163,527
  6. Step 6: Final answer
    x = 752,098.34

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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.