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Finding the Third Proportional to 314,156 and 678,136

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Solution

The third proportional to 314,156 and 678,136 is: 1,463,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,156 : 678,136 = 678,136 : x
  2. Step 2: Convert to fraction form
    314,156/678,136 = 678,136/x
  3. Step 3: Cross multiply
    314,156x = 678,136 × 678,136
  4. Step 4: Simplify right side
    314,156x = 459,868,434,496
  5. Step 5: Solve for x
    x = 459,868,434,496/314,156
  6. Step 6: Final answer
    x = 1,463,821.91

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Why These Related Problems?

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