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Finding the Third Proportional to 233,269.50 and 316,527

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Solution

The third proportional to 233,269.50 and 316,527 is: 429,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,269.50 : 316,527 = 316,527 : x
  2. Step 2: Convert to fraction form
    233,269.50/316,527 = 316,527/x
  3. Step 3: Cross multiply
    233,269.50x = 316,527 × 316,527
  4. Step 4: Simplify right side
    233,269.50x = 100,189,341,729
  5. Step 5: Solve for x
    x = 100,189,341,729/233,269.50
  6. Step 6: Final answer
    x = 429,500.39

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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.