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Finding the Third Proportional to 173,076 and 262,854

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Solution

The third proportional to 173,076 and 262,854 is: 399,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,076 : 262,854 = 262,854 : x
  2. Step 2: Convert to fraction form
    173,076/262,854 = 262,854/x
  3. Step 3: Cross multiply
    173,076x = 262,854 × 262,854
  4. Step 4: Simplify right side
    173,076x = 69,092,225,316
  5. Step 5: Solve for x
    x = 69,092,225,316/173,076
  6. Step 6: Final answer
    x = 399,201.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.