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Finding the Third Proportional to 167,966.16 and 260,103.66

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Solution

The third proportional to 167,966.16 and 260,103.66 is: 402,783.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,966.16 : 260,103.66 = 260,103.66 : x
  2. Step 2: Convert to fraction form
    167,966.16/260,103.66 = 260,103.66/x
  3. Step 3: Cross multiply
    167,966.16x = 260,103.66 × 260,103.66
  4. Step 4: Simplify right side
    167,966.16x = 67,653,911,994.62
  5. Step 5: Solve for x
    x = 67,653,911,994.62/167,966.16
  6. Step 6: Final answer
    x = 402,783.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.