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Finding the Third Proportional to 141,143.25 and 302,752.50

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Solution

The third proportional to 141,143.25 and 302,752.50 is: 649,404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,143.25 : 302,752.50 = 302,752.50 : x
  2. Step 2: Convert to fraction form
    141,143.25/302,752.50 = 302,752.50/x
  3. Step 3: Cross multiply
    141,143.25x = 302,752.50 × 302,752.50
  4. Step 4: Simplify right side
    141,143.25x = 91,659,076,256.25
  5. Step 5: Solve for x
    x = 91,659,076,256.25/141,143.25
  6. Step 6: Final answer
    x = 649,404.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.