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Finding the Third Proportional to 152,784 and 336,024

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Solution

The third proportional to 152,784 and 336,024 is: 739,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,784 : 336,024 = 336,024 : x
  2. Step 2: Convert to fraction form
    152,784/336,024 = 336,024/x
  3. Step 3: Cross multiply
    152,784x = 336,024 × 336,024
  4. Step 4: Simplify right side
    152,784x = 112,912,128,576
  5. Step 5: Solve for x
    x = 112,912,128,576/152,784
  6. Step 6: Final answer
    x = 739,031.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.