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Finding the Third Proportional to 164,304 and 264,528

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Solution

The third proportional to 164,304 and 264,528 is: 425,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,304 : 264,528 = 264,528 : x
  2. Step 2: Convert to fraction form
    164,304/264,528 = 264,528/x
  3. Step 3: Cross multiply
    164,304x = 264,528 × 264,528
  4. Step 4: Simplify right side
    164,304x = 69,975,062,784
  5. Step 5: Solve for x
    x = 69,975,062,784/164,304
  6. Step 6: Final answer
    x = 425,887.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.