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Finding the Third Proportional to 156,922.50 and 201,483.75

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Solution

The third proportional to 156,922.50 and 201,483.75 is: 258,699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,922.50 : 201,483.75 = 201,483.75 : x
  2. Step 2: Convert to fraction form
    156,922.50/201,483.75 = 201,483.75/x
  3. Step 3: Cross multiply
    156,922.50x = 201,483.75 × 201,483.75
  4. Step 4: Simplify right side
    156,922.50x = 40,595,701,514.06
  5. Step 5: Solve for x
    x = 40,595,701,514.06/156,922.50
  6. Step 6: Final answer
    x = 258,699.05

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.