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Finding the Third Proportional to 201,530.53 and 432,919.69

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Solution

The third proportional to 201,530.53 and 432,919.69 is: 929,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,530.53 : 432,919.69 = 432,919.69 : x
  2. Step 2: Convert to fraction form
    201,530.53/432,919.69 = 432,919.69/x
  3. Step 3: Cross multiply
    201,530.53x = 432,919.69 × 432,919.69
  4. Step 4: Simplify right side
    201,530.53x = 187,419,455,825.10
  5. Step 5: Solve for x
    x = 187,419,455,825.10/201,530.53
  6. Step 6: Final answer
    x = 929,980.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.