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Finding the Third Proportional to 205,426.50 and 325,959

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Solution

The third proportional to 205,426.50 and 325,959 is: 517,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,426.50 : 325,959 = 325,959 : x
  2. Step 2: Convert to fraction form
    205,426.50/325,959 = 325,959/x
  3. Step 3: Cross multiply
    205,426.50x = 325,959 × 325,959
  4. Step 4: Simplify right side
    205,426.50x = 106,249,269,681
  5. Step 5: Solve for x
    x = 106,249,269,681/205,426.50
  6. Step 6: Final answer
    x = 517,213.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.