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Finding the Third Proportional to 164,214.56 and 247,050.84

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Solution

The third proportional to 164,214.56 and 247,050.84 is: 371,673.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,214.56 : 247,050.84 = 247,050.84 : x
  2. Step 2: Convert to fraction form
    164,214.56/247,050.84 = 247,050.84/x
  3. Step 3: Cross multiply
    164,214.56x = 247,050.84 × 247,050.84
  4. Step 4: Simplify right side
    164,214.56x = 61,034,119,397.59
  5. Step 5: Solve for x
    x = 61,034,119,397.59/164,214.56
  6. Step 6: Final answer
    x = 371,673.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.