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Finding the Third Proportional to 140,871 and 313,236

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Solution

The third proportional to 140,871 and 313,236 is: 696,501.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,871 : 313,236 = 313,236 : x
  2. Step 2: Convert to fraction form
    140,871/313,236 = 313,236/x
  3. Step 3: Cross multiply
    140,871x = 313,236 × 313,236
  4. Step 4: Simplify right side
    140,871x = 98,116,791,696
  5. Step 5: Solve for x
    x = 98,116,791,696/140,871
  6. Step 6: Final answer
    x = 696,501.00

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.