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Finding the Third Proportional to 176,985 and 269,527.50

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Solution

The third proportional to 176,985 and 269,527.50 is: 410,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,985 : 269,527.50 = 269,527.50 : x
  2. Step 2: Convert to fraction form
    176,985/269,527.50 = 269,527.50/x
  3. Step 3: Cross multiply
    176,985x = 269,527.50 × 269,527.50
  4. Step 4: Simplify right side
    176,985x = 72,645,073,256.25
  5. Step 5: Solve for x
    x = 72,645,073,256.25/176,985
  6. Step 6: Final answer
    x = 410,458.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.