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Finding the Third Proportional to 235,267.50 and 364,566

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Solution

The third proportional to 235,267.50 and 364,566 is: 564,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,267.50 : 364,566 = 364,566 : x
  2. Step 2: Convert to fraction form
    235,267.50/364,566 = 364,566/x
  3. Step 3: Cross multiply
    235,267.50x = 364,566 × 364,566
  4. Step 4: Simplify right side
    235,267.50x = 132,908,368,356
  5. Step 5: Solve for x
    x = 132,908,368,356/235,267.50
  6. Step 6: Final answer
    x = 564,924.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.