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Finding the Third Proportional to 164,220 and 247,524

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Solution

The third proportional to 164,220 and 247,524 is: 373,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,220 : 247,524 = 247,524 : x
  2. Step 2: Convert to fraction form
    164,220/247,524 = 247,524/x
  3. Step 3: Cross multiply
    164,220x = 247,524 × 247,524
  4. Step 4: Simplify right side
    164,220x = 61,268,130,576
  5. Step 5: Solve for x
    x = 61,268,130,576/164,220
  6. Step 6: Final answer
    x = 373,085.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.