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Finding the Third Proportional to 195,399 and 426,154.50

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Solution

The third proportional to 195,399 and 426,154.50 is: 929,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,399 : 426,154.50 = 426,154.50 : x
  2. Step 2: Convert to fraction form
    195,399/426,154.50 = 426,154.50/x
  3. Step 3: Cross multiply
    195,399x = 426,154.50 × 426,154.50
  4. Step 4: Simplify right side
    195,399x = 181,607,657,870.25
  5. Step 5: Solve for x
    x = 181,607,657,870.25/195,399
  6. Step 6: Final answer
    x = 929,419.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.