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Finding the Third Proportional to 201,045 and 442,070

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Solution

The third proportional to 201,045 and 442,070 is: 972,050.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,045 : 442,070 = 442,070 : x
  2. Step 2: Convert to fraction form
    201,045/442,070 = 442,070/x
  3. Step 3: Cross multiply
    201,045x = 442,070 × 442,070
  4. Step 4: Simplify right side
    201,045x = 195,425,884,900
  5. Step 5: Solve for x
    x = 195,425,884,900/201,045
  6. Step 6: Final answer
    x = 972,050.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.