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Finding the Third Proportional to 176,335.88 and 266,143.50

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Solution

The third proportional to 176,335.88 and 266,143.50 is: 401,690.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,335.88 : 266,143.50 = 266,143.50 : x
  2. Step 2: Convert to fraction form
    176,335.88/266,143.50 = 266,143.50/x
  3. Step 3: Cross multiply
    176,335.88x = 266,143.50 × 266,143.50
  4. Step 4: Simplify right side
    176,335.88x = 70,832,362,592.25
  5. Step 5: Solve for x
    x = 70,832,362,592.25/176,335.88
  6. Step 6: Final answer
    x = 401,690.03

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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.