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Finding the Third Proportional to 163,588 and 350,820

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Solution

The third proportional to 163,588 and 350,820 is: 752,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,588 : 350,820 = 350,820 : x
  2. Step 2: Convert to fraction form
    163,588/350,820 = 350,820/x
  3. Step 3: Cross multiply
    163,588x = 350,820 × 350,820
  4. Step 4: Simplify right side
    163,588x = 123,074,672,400
  5. Step 5: Solve for x
    x = 123,074,672,400/163,588
  6. Step 6: Final answer
    x = 752,345.36

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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.