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Finding the Third Proportional to 162,304 and 350,528

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Solution

The third proportional to 162,304 and 350,528 is: 757,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,304 : 350,528 = 350,528 : x
  2. Step 2: Convert to fraction form
    162,304/350,528 = 350,528/x
  3. Step 3: Cross multiply
    162,304x = 350,528 × 350,528
  4. Step 4: Simplify right side
    162,304x = 122,869,878,784
  5. Step 5: Solve for x
    x = 122,869,878,784/162,304
  6. Step 6: Final answer
    x = 757,035.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.