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Finding the Third Proportional to 186,814 and 295,342

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Solution

The third proportional to 186,814 and 295,342 is: 466,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,814 : 295,342 = 295,342 : x
  2. Step 2: Convert to fraction form
    186,814/295,342 = 295,342/x
  3. Step 3: Cross multiply
    186,814x = 295,342 × 295,342
  4. Step 4: Simplify right side
    186,814x = 87,226,896,964
  5. Step 5: Solve for x
    x = 87,226,896,964/186,814
  6. Step 6: Final answer
    x = 466,918.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.