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Finding the Third Proportional to 191,527.50 and 388,527

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Solution

The third proportional to 191,527.50 and 388,527 is: 788,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,527.50 : 388,527 = 388,527 : x
  2. Step 2: Convert to fraction form
    191,527.50/388,527 = 388,527/x
  3. Step 3: Cross multiply
    191,527.50x = 388,527 × 388,527
  4. Step 4: Simplify right side
    191,527.50x = 150,953,229,729
  5. Step 5: Solve for x
    x = 150,953,229,729/191,527.50
  6. Step 6: Final answer
    x = 788,154.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.