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Finding the Third Proportional to 148,241.81 and 317,395.13

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Solution

The third proportional to 148,241.81 and 317,395.13 is: 679,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,241.81 : 317,395.13 = 317,395.13 : x
  2. Step 2: Convert to fraction form
    148,241.81/317,395.13 = 317,395.13/x
  3. Step 3: Cross multiply
    148,241.81x = 317,395.13 × 317,395.13
  4. Step 4: Simplify right side
    148,241.81x = 100,739,665,373.77
  5. Step 5: Solve for x
    x = 100,739,665,373.77/148,241.81
  6. Step 6: Final answer
    x = 679,563.10

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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.