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Finding the Third Proportional to 160,501.50 and 338,904

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Solution

The third proportional to 160,501.50 and 338,904 is: 715,606.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,501.50 : 338,904 = 338,904 : x
  2. Step 2: Convert to fraction form
    160,501.50/338,904 = 338,904/x
  3. Step 3: Cross multiply
    160,501.50x = 338,904 × 338,904
  4. Step 4: Simplify right side
    160,501.50x = 114,855,921,216
  5. Step 5: Solve for x
    x = 114,855,921,216/160,501.50
  6. Step 6: Final answer
    x = 715,606.53

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.