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Finding the Third Proportional to 153,505.13 and 236,818.69

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Solution

The third proportional to 153,505.13 and 236,818.69 is: 365,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,505.13 : 236,818.69 = 236,818.69 : x
  2. Step 2: Convert to fraction form
    153,505.13/236,818.69 = 236,818.69/x
  3. Step 3: Cross multiply
    153,505.13x = 236,818.69 × 236,818.69
  4. Step 4: Simplify right side
    153,505.13x = 56,083,090,749.22
  5. Step 5: Solve for x
    x = 56,083,090,749.22/153,505.13
  6. Step 6: Final answer
    x = 365,349.96

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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.