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Finding the Third Proportional to 156,853.13 and 236,751.19

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Solution

The third proportional to 156,853.13 and 236,751.19 is: 357,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,853.13 : 236,751.19 = 236,751.19 : x
  2. Step 2: Convert to fraction form
    156,853.13/236,751.19 = 236,751.19/x
  3. Step 3: Cross multiply
    156,853.13x = 236,751.19 × 236,751.19
  4. Step 4: Simplify right side
    156,853.13x = 56,051,124,782.66
  5. Step 5: Solve for x
    x = 56,051,124,782.66/156,853.13
  6. Step 6: Final answer
    x = 357,347.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.