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Finding the Third Proportional to 125,391 and 270,465.75

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Solution

The third proportional to 125,391 and 270,465.75 is: 583,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,391 : 270,465.75 = 270,465.75 : x
  2. Step 2: Convert to fraction form
    125,391/270,465.75 = 270,465.75/x
  3. Step 3: Cross multiply
    125,391x = 270,465.75 × 270,465.75
  4. Step 4: Simplify right side
    125,391x = 73,151,721,923.06
  5. Step 5: Solve for x
    x = 73,151,721,923.06/125,391
  6. Step 6: Final answer
    x = 583,388.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.