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Finding the Third Proportional to 122,882 and 262,854

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Solution

The third proportional to 122,882 and 262,854 is: 562,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,882 : 262,854 = 262,854 : x
  2. Step 2: Convert to fraction form
    122,882/262,854 = 262,854/x
  3. Step 3: Cross multiply
    122,882x = 262,854 × 262,854
  4. Step 4: Simplify right side
    122,882x = 69,092,225,316
  5. Step 5: Solve for x
    x = 69,092,225,316/122,882
  6. Step 6: Final answer
    x = 562,264.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.