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Finding the Third Proportional to 216,304 and 333,528

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Solution

The third proportional to 216,304 and 333,528 is: 514,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,304 : 333,528 = 333,528 : x
  2. Step 2: Convert to fraction form
    216,304/333,528 = 333,528/x
  3. Step 3: Cross multiply
    216,304x = 333,528 × 333,528
  4. Step 4: Simplify right side
    216,304x = 111,240,926,784
  5. Step 5: Solve for x
    x = 111,240,926,784/216,304
  6. Step 6: Final answer
    x = 514,280.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.