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Finding the Third Proportional to 205,265 and 326,869.50

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Solution

The third proportional to 205,265 and 326,869.50 is: 520,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,265 : 326,869.50 = 326,869.50 : x
  2. Step 2: Convert to fraction form
    205,265/326,869.50 = 326,869.50/x
  3. Step 3: Cross multiply
    205,265x = 326,869.50 × 326,869.50
  4. Step 4: Simplify right side
    205,265x = 106,843,670,030.25
  5. Step 5: Solve for x
    x = 106,843,670,030.25/205,265
  6. Step 6: Final answer
    x = 520,515.77

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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.