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Finding the Third Proportional to 147,752 and 314,812

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Solution

The third proportional to 147,752 and 314,812 is: 670,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,752 : 314,812 = 314,812 : x
  2. Step 2: Convert to fraction form
    147,752/314,812 = 314,812/x
  3. Step 3: Cross multiply
    147,752x = 314,812 × 314,812
  4. Step 4: Simplify right side
    147,752x = 99,106,595,344
  5. Step 5: Solve for x
    x = 99,106,595,344/147,752
  6. Step 6: Final answer
    x = 670,763.14

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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.