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Finding the Third Proportional to 154,557 and 329,527

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Solution

The third proportional to 154,557 and 329,527 is: 702,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,557 : 329,527 = 329,527 : x
  2. Step 2: Convert to fraction form
    154,557/329,527 = 329,527/x
  3. Step 3: Cross multiply
    154,557x = 329,527 × 329,527
  4. Step 4: Simplify right side
    154,557x = 108,588,043,729
  5. Step 5: Solve for x
    x = 108,588,043,729/154,557
  6. Step 6: Final answer
    x = 702,576.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.