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Finding the Third Proportional to 152,946 and 359,845.50

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Solution

The third proportional to 152,946 and 359,845.50 is: 846,630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,946 : 359,845.50 = 359,845.50 : x
  2. Step 2: Convert to fraction form
    152,946/359,845.50 = 359,845.50/x
  3. Step 3: Cross multiply
    152,946x = 359,845.50 × 359,845.50
  4. Step 4: Simplify right side
    152,946x = 129,488,783,870.25
  5. Step 5: Solve for x
    x = 129,488,783,870.25/152,946
  6. Step 6: Final answer
    x = 846,630.73

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.