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Finding the Third Proportional to 146,073.38 and 317,058.05

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Solution

The third proportional to 146,073.38 and 317,058.05 is: 688,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,073.38 : 317,058.05 = 317,058.05 : x
  2. Step 2: Convert to fraction form
    146,073.38/317,058.05 = 317,058.05/x
  3. Step 3: Cross multiply
    146,073.38x = 317,058.05 × 317,058.05
  4. Step 4: Simplify right side
    146,073.38x = 100,525,805,088.19
  5. Step 5: Solve for x
    x = 100,525,805,088.19/146,073.38
  6. Step 6: Final answer
    x = 688,187.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.