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Finding the Third Proportional to 153,559.13 and 236,899.69

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Solution

The third proportional to 153,559.13 and 236,899.69 is: 365,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,559.13 : 236,899.69 = 236,899.69 : x
  2. Step 2: Convert to fraction form
    153,559.13/236,899.69 = 236,899.69/x
  3. Step 3: Cross multiply
    153,559.13x = 236,899.69 × 236,899.69
  4. Step 4: Simplify right side
    153,559.13x = 56,121,461,937.60
  5. Step 5: Solve for x
    x = 56,121,461,937.60/153,559.13
  6. Step 6: Final answer
    x = 365,471.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.