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Finding the Third Proportional to 166,875.19 and 258,870.94

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Solution

The third proportional to 166,875.19 and 258,870.94 is: 401,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,875.19 : 258,870.94 = 258,870.94 : x
  2. Step 2: Convert to fraction form
    166,875.19/258,870.94 = 258,870.94/x
  3. Step 3: Cross multiply
    166,875.19x = 258,870.94 × 258,870.94
  4. Step 4: Simplify right side
    166,875.19x = 67,014,162,282.13
  5. Step 5: Solve for x
    x = 67,014,162,282.13/166,875.19
  6. Step 6: Final answer
    x = 401,582.54

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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.