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Finding the Third Proportional to 147,447.84 and 314,206.59

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Solution

The third proportional to 147,447.84 and 314,206.59 is: 669,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,447.84 : 314,206.59 = 314,206.59 : x
  2. Step 2: Convert to fraction form
    147,447.84/314,206.59 = 314,206.59/x
  3. Step 3: Cross multiply
    147,447.84x = 314,206.59 × 314,206.59
  4. Step 4: Simplify right side
    147,447.84x = 98,725,783,555.98
  5. Step 5: Solve for x
    x = 98,725,783,555.98/147,447.84
  6. Step 6: Final answer
    x = 669,564.11

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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.