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Finding the Third Proportional to 186,701 and 294,632

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Solution

The third proportional to 186,701 and 294,632 is: 464,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,701 : 294,632 = 294,632 : x
  2. Step 2: Convert to fraction form
    186,701/294,632 = 294,632/x
  3. Step 3: Cross multiply
    186,701x = 294,632 × 294,632
  4. Step 4: Simplify right side
    186,701x = 86,808,015,424
  5. Step 5: Solve for x
    x = 86,808,015,424/186,701
  6. Step 6: Final answer
    x = 464,957.42

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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.