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Finding the Third Proportional to 98,808 and 153,224

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Solution

The third proportional to 98,808 and 153,224 is: 237,608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,808 : 153,224 = 153,224 : x
  2. Step 2: Convert to fraction form
    98,808/153,224 = 153,224/x
  3. Step 3: Cross multiply
    98,808x = 153,224 × 153,224
  4. Step 4: Simplify right side
    98,808x = 23,477,594,176
  5. Step 5: Solve for x
    x = 23,477,594,176/98,808
  6. Step 6: Final answer
    x = 237,608.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.