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Finding the Third Proportional to 125,254.13 and 262,816.88

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Solution

The third proportional to 125,254.13 and 262,816.88 is: 551,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,254.13 : 262,816.88 = 262,816.88 : x
  2. Step 2: Convert to fraction form
    125,254.13/262,816.88 = 262,816.88/x
  3. Step 3: Cross multiply
    125,254.13x = 262,816.88 × 262,816.88
  4. Step 4: Simplify right side
    125,254.13x = 69,072,709,784.77
  5. Step 5: Solve for x
    x = 69,072,709,784.77/125,254.13
  6. Step 6: Final answer
    x = 551,460.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.