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Finding the Third Proportional to 211,807.13 and 296,254.13

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Solution

The third proportional to 211,807.13 and 296,254.13 is: 414,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,807.13 : 296,254.13 = 296,254.13 : x
  2. Step 2: Convert to fraction form
    211,807.13/296,254.13 = 296,254.13/x
  3. Step 3: Cross multiply
    211,807.13x = 296,254.13 × 296,254.13
  4. Step 4: Simplify right side
    211,807.13x = 87,766,506,579.52
  5. Step 5: Solve for x
    x = 87,766,506,579.52/211,807.13
  6. Step 6: Final answer
    x = 414,369.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.