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Finding the Third Proportional to 153,081 and 335,754

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Solution

The third proportional to 153,081 and 335,754 is: 736,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,081 : 335,754 = 335,754 : x
  2. Step 2: Convert to fraction form
    153,081/335,754 = 335,754/x
  3. Step 3: Cross multiply
    153,081x = 335,754 × 335,754
  4. Step 4: Simplify right side
    153,081x = 112,730,748,516
  5. Step 5: Solve for x
    x = 112,730,748,516/153,081
  6. Step 6: Final answer
    x = 736,412.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.