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Finding the Third Proportional to 130,467.38 and 201,595.50

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Solution

The third proportional to 130,467.38 and 201,595.50 is: 311,501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,467.38 : 201,595.50 = 201,595.50 : x
  2. Step 2: Convert to fraction form
    130,467.38/201,595.50 = 201,595.50/x
  3. Step 3: Cross multiply
    130,467.38x = 201,595.50 × 201,595.50
  4. Step 4: Simplify right side
    130,467.38x = 40,640,745,620.25
  5. Step 5: Solve for x
    x = 40,640,745,620.25/130,467.38
  6. Step 6: Final answer
    x = 311,501.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.