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Finding the Third Proportional to 156,931 and 221,090

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Solution

The third proportional to 156,931 and 221,090 is: 311,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,931 : 221,090 = 221,090 : x
  2. Step 2: Convert to fraction form
    156,931/221,090 = 221,090/x
  3. Step 3: Cross multiply
    156,931x = 221,090 × 221,090
  4. Step 4: Simplify right side
    156,931x = 48,880,788,100
  5. Step 5: Solve for x
    x = 48,880,788,100/156,931
  6. Step 6: Final answer
    x = 311,479.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.