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Finding the Third Proportional to 188,032.13 and 402,308.25

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Solution

The third proportional to 188,032.13 and 402,308.25 is: 860,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,032.13 : 402,308.25 = 402,308.25 : x
  2. Step 2: Convert to fraction form
    188,032.13/402,308.25 = 402,308.25/x
  3. Step 3: Cross multiply
    188,032.13x = 402,308.25 × 402,308.25
  4. Step 4: Simplify right side
    188,032.13x = 161,851,928,018.06
  5. Step 5: Solve for x
    x = 161,851,928,018.06/188,032.13
  6. Step 6: Final answer
    x = 860,767.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.