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Finding the Third Proportional to 176,367 and 266,140.50

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Solution

The third proportional to 176,367 and 266,140.50 is: 401,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,367 : 266,140.50 = 266,140.50 : x
  2. Step 2: Convert to fraction form
    176,367/266,140.50 = 266,140.50/x
  3. Step 3: Cross multiply
    176,367x = 266,140.50 × 266,140.50
  4. Step 4: Simplify right side
    176,367x = 70,830,765,740.25
  5. Step 5: Solve for x
    x = 70,830,765,740.25/176,367
  6. Step 6: Final answer
    x = 401,610.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.