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Finding the Third Proportional to 85,316 and 176,084

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Solution

The third proportional to 85,316 and 176,084 is: 363,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,316 : 176,084 = 176,084 : x
  2. Step 2: Convert to fraction form
    85,316/176,084 = 176,084/x
  3. Step 3: Cross multiply
    85,316x = 176,084 × 176,084
  4. Step 4: Simplify right side
    85,316x = 31,005,575,056
  5. Step 5: Solve for x
    x = 31,005,575,056/85,316
  6. Step 6: Final answer
    x = 363,420.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.