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Finding the Third Proportional to 147,168 and 317,854

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Solution

The third proportional to 147,168 and 317,854 is: 686,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,168 : 317,854 = 317,854 : x
  2. Step 2: Convert to fraction form
    147,168/317,854 = 317,854/x
  3. Step 3: Cross multiply
    147,168x = 317,854 × 317,854
  4. Step 4: Simplify right side
    147,168x = 101,031,165,316
  5. Step 5: Solve for x
    x = 101,031,165,316/147,168
  6. Step 6: Final answer
    x = 686,502.26

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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.