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Finding the Third Proportional to 140,070 and 201,352.50

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Solution

The third proportional to 140,070 and 201,352.50 is: 289,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,070 : 201,352.50 = 201,352.50 : x
  2. Step 2: Convert to fraction form
    140,070/201,352.50 = 201,352.50/x
  3. Step 3: Cross multiply
    140,070x = 201,352.50 × 201,352.50
  4. Step 4: Simplify right side
    140,070x = 40,542,829,256.25
  5. Step 5: Solve for x
    x = 40,542,829,256.25/140,070
  6. Step 6: Final answer
    x = 289,446.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.