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Finding the Third Proportional to 201,130 and 298,214.50

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Solution

The third proportional to 201,130 and 298,214.50 is: 442,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,130 : 298,214.50 = 298,214.50 : x
  2. Step 2: Convert to fraction form
    201,130/298,214.50 = 298,214.50/x
  3. Step 3: Cross multiply
    201,130x = 298,214.50 × 298,214.50
  4. Step 4: Simplify right side
    201,130x = 88,931,888,010.25
  5. Step 5: Solve for x
    x = 88,931,888,010.25/201,130
  6. Step 6: Final answer
    x = 442,161.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.