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Finding the Third Proportional to 160,935.19 and 236,471.91

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Solution

The third proportional to 160,935.19 and 236,471.91 is: 347,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,935.19 : 236,471.91 = 236,471.91 : x
  2. Step 2: Convert to fraction form
    160,935.19/236,471.91 = 236,471.91/x
  3. Step 3: Cross multiply
    160,935.19x = 236,471.91 × 236,471.91
  4. Step 4: Simplify right side
    160,935.19x = 55,918,962,445.51
  5. Step 5: Solve for x
    x = 55,918,962,445.51/160,935.19
  6. Step 6: Final answer
    x = 347,462.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.