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Finding the Third Proportional to 154,592 and 322,528

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Solution

The third proportional to 154,592 and 322,528 is: 672,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,592 : 322,528 = 322,528 : x
  2. Step 2: Convert to fraction form
    154,592/322,528 = 322,528/x
  3. Step 3: Cross multiply
    154,592x = 322,528 × 322,528
  4. Step 4: Simplify right side
    154,592x = 104,024,310,784
  5. Step 5: Solve for x
    x = 104,024,310,784/154,592
  6. Step 6: Final answer
    x = 672,895.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.