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Finding the Third Proportional to 153,922 and 330,875

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Solution

The third proportional to 153,922 and 330,875 is: 711,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,922 : 330,875 = 330,875 : x
  2. Step 2: Convert to fraction form
    153,922/330,875 = 330,875/x
  3. Step 3: Cross multiply
    153,922x = 330,875 × 330,875
  4. Step 4: Simplify right side
    153,922x = 109,478,265,625
  5. Step 5: Solve for x
    x = 109,478,265,625/153,922
  6. Step 6: Final answer
    x = 711,258.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.