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Finding the Third Proportional to 199,552 and 426,776

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Solution

The third proportional to 199,552 and 426,776 is: 912,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,552 : 426,776 = 426,776 : x
  2. Step 2: Convert to fraction form
    199,552/426,776 = 426,776/x
  3. Step 3: Cross multiply
    199,552x = 426,776 × 426,776
  4. Step 4: Simplify right side
    199,552x = 182,137,754,176
  5. Step 5: Solve for x
    x = 182,137,754,176/199,552
  6. Step 6: Final answer
    x = 912,733.29

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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.