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Finding the Third Proportional to 170,064 and 370,747.50

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Solution

The third proportional to 170,064 and 370,747.50 is: 808,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,064 : 370,747.50 = 370,747.50 : x
  2. Step 2: Convert to fraction form
    170,064/370,747.50 = 370,747.50/x
  3. Step 3: Cross multiply
    170,064x = 370,747.50 × 370,747.50
  4. Step 4: Simplify right side
    170,064x = 137,453,708,756.25
  5. Step 5: Solve for x
    x = 137,453,708,756.25/170,064
  6. Step 6: Final answer
    x = 808,246.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.