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Finding the Third Proportional to 115,803 and 176,188.50

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Solution

The third proportional to 115,803 and 176,188.50 is: 268,062.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,803 : 176,188.50 = 176,188.50 : x
  2. Step 2: Convert to fraction form
    115,803/176,188.50 = 176,188.50/x
  3. Step 3: Cross multiply
    115,803x = 176,188.50 × 176,188.50
  4. Step 4: Simplify right side
    115,803x = 31,042,387,532.25
  5. Step 5: Solve for x
    x = 31,042,387,532.25/115,803
  6. Step 6: Final answer
    x = 268,062.03

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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.