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Finding the Third Proportional to 167,535 and 361,314

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Solution

The third proportional to 167,535 and 361,314 is: 779,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,535 : 361,314 = 361,314 : x
  2. Step 2: Convert to fraction form
    167,535/361,314 = 361,314/x
  3. Step 3: Cross multiply
    167,535x = 361,314 × 361,314
  4. Step 4: Simplify right side
    167,535x = 130,547,806,596
  5. Step 5: Solve for x
    x = 130,547,806,596/167,535
  6. Step 6: Final answer
    x = 779,227.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.