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Finding the Third Proportional to 188,964 and 286,445.25

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Solution

The third proportional to 188,964 and 286,445.25 is: 434,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,964 : 286,445.25 = 286,445.25 : x
  2. Step 2: Convert to fraction form
    188,964/286,445.25 = 286,445.25/x
  3. Step 3: Cross multiply
    188,964x = 286,445.25 × 286,445.25
  4. Step 4: Simplify right side
    188,964x = 82,050,881,247.56
  5. Step 5: Solve for x
    x = 82,050,881,247.56/188,964
  6. Step 6: Final answer
    x = 434,214.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.