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Finding the Third Proportional to 160,323.75 and 253,854

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Solution

The third proportional to 160,323.75 and 253,854 is: 401,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,323.75 : 253,854 = 253,854 : x
  2. Step 2: Convert to fraction form
    160,323.75/253,854 = 253,854/x
  3. Step 3: Cross multiply
    160,323.75x = 253,854 × 253,854
  4. Step 4: Simplify right side
    160,323.75x = 64,441,853,316
  5. Step 5: Solve for x
    x = 64,441,853,316/160,323.75
  6. Step 6: Final answer
    x = 401,948.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.