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Finding the Third Proportional to 181,398 and 423,592.50

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Solution

The third proportional to 181,398 and 423,592.50 is: 989,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,398 : 423,592.50 = 423,592.50 : x
  2. Step 2: Convert to fraction form
    181,398/423,592.50 = 423,592.50/x
  3. Step 3: Cross multiply
    181,398x = 423,592.50 × 423,592.50
  4. Step 4: Simplify right side
    181,398x = 179,430,606,056.25
  5. Step 5: Solve for x
    x = 179,430,606,056.25/181,398
  6. Step 6: Final answer
    x = 989,154.27

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.