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Finding the Third Proportional to 243,705 and 326,002.50

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Solution

The third proportional to 243,705 and 326,002.50 is: 436,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,705 : 326,002.50 = 326,002.50 : x
  2. Step 2: Convert to fraction form
    243,705/326,002.50 = 326,002.50/x
  3. Step 3: Cross multiply
    243,705x = 326,002.50 × 326,002.50
  4. Step 4: Simplify right side
    243,705x = 106,277,630,006.25
  5. Step 5: Solve for x
    x = 106,277,630,006.25/243,705
  6. Step 6: Final answer
    x = 436,091.30

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.