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Finding the Third Proportional to 98,360 and 151,284

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Solution

The third proportional to 98,360 and 151,284 is: 232,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,360 : 151,284 = 151,284 : x
  2. Step 2: Convert to fraction form
    98,360/151,284 = 151,284/x
  3. Step 3: Cross multiply
    98,360x = 151,284 × 151,284
  4. Step 4: Simplify right side
    98,360x = 22,886,848,656
  5. Step 5: Solve for x
    x = 22,886,848,656/98,360
  6. Step 6: Final answer
    x = 232,684.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.