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Finding the Third Proportional to 117,574 and 266,112

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Solution

The third proportional to 117,574 and 266,112 is: 602,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,574 : 266,112 = 266,112 : x
  2. Step 2: Convert to fraction form
    117,574/266,112 = 266,112/x
  3. Step 3: Cross multiply
    117,574x = 266,112 × 266,112
  4. Step 4: Simplify right side
    117,574x = 70,815,596,544
  5. Step 5: Solve for x
    x = 70,815,596,544/117,574
  6. Step 6: Final answer
    x = 602,306.60

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.