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Finding the Third Proportional to 176,304 and 370,752

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Solution

The third proportional to 176,304 and 370,752 is: 779,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,304 : 370,752 = 370,752 : x
  2. Step 2: Convert to fraction form
    176,304/370,752 = 370,752/x
  3. Step 3: Cross multiply
    176,304x = 370,752 × 370,752
  4. Step 4: Simplify right side
    176,304x = 137,457,045,504
  5. Step 5: Solve for x
    x = 137,457,045,504/176,304
  6. Step 6: Final answer
    x = 779,659.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.