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Finding the Third Proportional to 202,421.25 and 435,981.94

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Solution

The third proportional to 202,421.25 and 435,981.94 is: 939,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,421.25 : 435,981.94 = 435,981.94 : x
  2. Step 2: Convert to fraction form
    202,421.25/435,981.94 = 435,981.94/x
  3. Step 3: Cross multiply
    202,421.25x = 435,981.94 × 435,981.94
  4. Step 4: Simplify right side
    202,421.25x = 190,080,249,826.25
  5. Step 5: Solve for x
    x = 190,080,249,826.25/202,421.25
  6. Step 6: Final answer
    x = 939,033.08

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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.