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Finding the Third Proportional to 198,598 and 425,623

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Solution

The third proportional to 198,598 and 425,623 is: 912,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,598 : 425,623 = 425,623 : x
  2. Step 2: Convert to fraction form
    198,598/425,623 = 425,623/x
  3. Step 3: Cross multiply
    198,598x = 425,623 × 425,623
  4. Step 4: Simplify right side
    198,598x = 181,154,938,129
  5. Step 5: Solve for x
    x = 181,154,938,129/198,598
  6. Step 6: Final answer
    x = 912,169.00

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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.