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Finding the Third Proportional to 170,817 and 365,281.50

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Solution

The third proportional to 170,817 and 365,281.50 is: 781,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,817 : 365,281.50 = 365,281.50 : x
  2. Step 2: Convert to fraction form
    170,817/365,281.50 = 365,281.50/x
  3. Step 3: Cross multiply
    170,817x = 365,281.50 × 365,281.50
  4. Step 4: Simplify right side
    170,817x = 133,430,574,242.25
  5. Step 5: Solve for x
    x = 133,430,574,242.25/170,817
  6. Step 6: Final answer
    x = 781,131.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.