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Finding the Third Proportional to 133,360 and 314,804

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Solution

The third proportional to 133,360 and 314,804 is: 743,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,360 : 314,804 = 314,804 : x
  2. Step 2: Convert to fraction form
    133,360/314,804 = 314,804/x
  3. Step 3: Cross multiply
    133,360x = 314,804 × 314,804
  4. Step 4: Simplify right side
    133,360x = 99,101,558,416
  5. Step 5: Solve for x
    x = 99,101,558,416/133,360
  6. Step 6: Final answer
    x = 743,113.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.