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Finding the Third Proportional to 156,257 and 221,246.50

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Solution

The third proportional to 156,257 and 221,246.50 is: 313,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,257 : 221,246.50 = 221,246.50 : x
  2. Step 2: Convert to fraction form
    156,257/221,246.50 = 221,246.50/x
  3. Step 3: Cross multiply
    156,257x = 221,246.50 × 221,246.50
  4. Step 4: Simplify right side
    156,257x = 48,950,013,762.25
  5. Step 5: Solve for x
    x = 48,950,013,762.25/156,257
  6. Step 6: Final answer
    x = 313,266.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.