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Finding the Third Proportional to 186,383 and 296,423

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Solution

The third proportional to 186,383 and 296,423 is: 471,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,383 : 296,423 = 296,423 : x
  2. Step 2: Convert to fraction form
    186,383/296,423 = 296,423/x
  3. Step 3: Cross multiply
    186,383x = 296,423 × 296,423
  4. Step 4: Simplify right side
    186,383x = 87,866,594,929
  5. Step 5: Solve for x
    x = 87,866,594,929/186,383
  6. Step 6: Final answer
    x = 471,430.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.