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Finding the Third Proportional to 281,132 and 411,153.50

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Solution

The third proportional to 281,132 and 411,153.50 is: 601,309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,132 : 411,153.50 = 411,153.50 : x
  2. Step 2: Convert to fraction form
    281,132/411,153.50 = 411,153.50/x
  3. Step 3: Cross multiply
    281,132x = 411,153.50 × 411,153.50
  4. Step 4: Simplify right side
    281,132x = 169,047,200,562.25
  5. Step 5: Solve for x
    x = 169,047,200,562.25/281,132
  6. Step 6: Final answer
    x = 601,309.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.