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Finding the Third Proportional to 147,105 and 317,547

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Solution

The third proportional to 147,105 and 317,547 is: 685,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,105 : 317,547 = 317,547 : x
  2. Step 2: Convert to fraction form
    147,105/317,547 = 317,547/x
  3. Step 3: Cross multiply
    147,105x = 317,547 × 317,547
  4. Step 4: Simplify right side
    147,105x = 100,836,097,209
  5. Step 5: Solve for x
    x = 100,836,097,209/147,105
  6. Step 6: Final answer
    x = 685,470.22

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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.