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Finding the Third Proportional to 123,322.50 and 266,316.19

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Solution

The third proportional to 123,322.50 and 266,316.19 is: 575,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,322.50 : 266,316.19 = 266,316.19 : x
  2. Step 2: Convert to fraction form
    123,322.50/266,316.19 = 266,316.19/x
  3. Step 3: Cross multiply
    123,322.50x = 266,316.19 × 266,316.19
  4. Step 4: Simplify right side
    123,322.50x = 70,924,311,724.54
  5. Step 5: Solve for x
    x = 70,924,311,724.54/123,322.50
  6. Step 6: Final answer
    x = 575,112.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.