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Finding the Third Proportional to 160,887 and 211,567.50

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Solution

The third proportional to 160,887 and 211,567.50 is: 278,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,887 : 211,567.50 = 211,567.50 : x
  2. Step 2: Convert to fraction form
    160,887/211,567.50 = 211,567.50/x
  3. Step 3: Cross multiply
    160,887x = 211,567.50 × 211,567.50
  4. Step 4: Simplify right side
    160,887x = 44,760,807,056.25
  5. Step 5: Solve for x
    x = 44,760,807,056.25/160,887
  6. Step 6: Final answer
    x = 278,212.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.