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Finding the Third Proportional to 200,017.13 and 299,719.69

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Solution

The third proportional to 200,017.13 and 299,719.69 is: 449,121.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,017.13 : 299,719.69 = 299,719.69 : x
  2. Step 2: Convert to fraction form
    200,017.13/299,719.69 = 299,719.69/x
  3. Step 3: Cross multiply
    200,017.13x = 299,719.69 × 299,719.69
  4. Step 4: Simplify right side
    200,017.13x = 89,831,891,075.10
  5. Step 5: Solve for x
    x = 89,831,891,075.10/200,017.13
  6. Step 6: Final answer
    x = 449,121.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.