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Finding the Third Proportional to 152,136 and 328,896

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Solution

The third proportional to 152,136 and 328,896 is: 711,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,136 : 328,896 = 328,896 : x
  2. Step 2: Convert to fraction form
    152,136/328,896 = 328,896/x
  3. Step 3: Cross multiply
    152,136x = 328,896 × 328,896
  4. Step 4: Simplify right side
    152,136x = 108,172,578,816
  5. Step 5: Solve for x
    x = 108,172,578,816/152,136
  6. Step 6: Final answer
    x = 711,025.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.