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Finding the Third Proportional to 160,998.47 and 236,574.84

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Solution

The third proportional to 160,998.47 and 236,574.84 is: 347,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,998.47 : 236,574.84 = 236,574.84 : x
  2. Step 2: Convert to fraction form
    160,998.47/236,574.84 = 236,574.84/x
  3. Step 3: Cross multiply
    160,998.47x = 236,574.84 × 236,574.84
  4. Step 4: Simplify right side
    160,998.47x = 55,967,656,695.34
  5. Step 5: Solve for x
    x = 55,967,656,695.34/160,998.47
  6. Step 6: Final answer
    x = 347,628.50

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Why These Related Problems?

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