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Finding the Third Proportional to 201,528 and 442,800

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Solution

The third proportional to 201,528 and 442,800 is: 972,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,528 : 442,800 = 442,800 : x
  2. Step 2: Convert to fraction form
    201,528/442,800 = 442,800/x
  3. Step 3: Cross multiply
    201,528x = 442,800 × 442,800
  4. Step 4: Simplify right side
    201,528x = 196,071,840,000
  5. Step 5: Solve for x
    x = 196,071,840,000/201,528
  6. Step 6: Final answer
    x = 972,926.05

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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.