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Finding the Third Proportional to 141,372.84 and 302,702.06

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Solution

The third proportional to 141,372.84 and 302,702.06 is: 648,133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,372.84 : 302,702.06 = 302,702.06 : x
  2. Step 2: Convert to fraction form
    141,372.84/302,702.06 = 302,702.06/x
  3. Step 3: Cross multiply
    141,372.84x = 302,702.06 × 302,702.06
  4. Step 4: Simplify right side
    141,372.84x = 91,628,538,641.75
  5. Step 5: Solve for x
    x = 91,628,538,641.75/141,372.84
  6. Step 6: Final answer
    x = 648,133.94

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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.