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Finding the Third Proportional to 143,798 and 302,500

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Solution

The third proportional to 143,798 and 302,500 is: 636,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,798 : 302,500 = 302,500 : x
  2. Step 2: Convert to fraction form
    143,798/302,500 = 302,500/x
  3. Step 3: Cross multiply
    143,798x = 302,500 × 302,500
  4. Step 4: Simplify right side
    143,798x = 91,506,250,000
  5. Step 5: Solve for x
    x = 91,506,250,000/143,798
  6. Step 6: Final answer
    x = 636,352.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.