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Finding the Third Proportional to 73,040 and 153,458

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Solution

The third proportional to 73,040 and 153,458 is: 322,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,040 : 153,458 = 153,458 : x
  2. Step 2: Convert to fraction form
    73,040/153,458 = 153,458/x
  3. Step 3: Cross multiply
    73,040x = 153,458 × 153,458
  4. Step 4: Simplify right side
    73,040x = 23,549,357,764
  5. Step 5: Solve for x
    x = 23,549,357,764/73,040
  6. Step 6: Final answer
    x = 322,417.27

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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.