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Finding the Third Proportional to 156,712.50 and 282,321

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Solution

The third proportional to 156,712.50 and 282,321 is: 508,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,712.50 : 282,321 = 282,321 : x
  2. Step 2: Convert to fraction form
    156,712.50/282,321 = 282,321/x
  3. Step 3: Cross multiply
    156,712.50x = 282,321 × 282,321
  4. Step 4: Simplify right side
    156,712.50x = 79,705,147,041
  5. Step 5: Solve for x
    x = 79,705,147,041/156,712.50
  6. Step 6: Final answer
    x = 508,607.46

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.