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Finding the Third Proportional to 186,732 and 245,106

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Solution

The third proportional to 186,732 and 245,106 is: 321,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,732 : 245,106 = 245,106 : x
  2. Step 2: Convert to fraction form
    186,732/245,106 = 245,106/x
  3. Step 3: Cross multiply
    186,732x = 245,106 × 245,106
  4. Step 4: Simplify right side
    186,732x = 60,076,951,236
  5. Step 5: Solve for x
    x = 60,076,951,236/186,732
  6. Step 6: Final answer
    x = 321,728.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.