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Finding the Third Proportional to 168,323 and 359,973.50

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Solution

The third proportional to 168,323 and 359,973.50 is: 769,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,323 : 359,973.50 = 359,973.50 : x
  2. Step 2: Convert to fraction form
    168,323/359,973.50 = 359,973.50/x
  3. Step 3: Cross multiply
    168,323x = 359,973.50 × 359,973.50
  4. Step 4: Simplify right side
    168,323x = 129,580,920,702.25
  5. Step 5: Solve for x
    x = 129,580,920,702.25/168,323
  6. Step 6: Final answer
    x = 769,834.90

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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.