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Finding the Third Proportional to 233,295.75 and 316,566

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Solution

The third proportional to 233,295.75 and 316,566 is: 429,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,295.75 : 316,566 = 316,566 : x
  2. Step 2: Convert to fraction form
    233,295.75/316,566 = 316,566/x
  3. Step 3: Cross multiply
    233,295.75x = 316,566 × 316,566
  4. Step 4: Simplify right side
    233,295.75x = 100,214,032,356
  5. Step 5: Solve for x
    x = 100,214,032,356/233,295.75
  6. Step 6: Final answer
    x = 429,557.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.