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Finding the Third Proportional to 235,098 and 500,148

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Solution

The third proportional to 235,098 and 500,148 is: 1,064,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,098 : 500,148 = 500,148 : x
  2. Step 2: Convert to fraction form
    235,098/500,148 = 500,148/x
  3. Step 3: Cross multiply
    235,098x = 500,148 × 500,148
  4. Step 4: Simplify right side
    235,098x = 250,148,021,904
  5. Step 5: Solve for x
    x = 250,148,021,904/235,098
  6. Step 6: Final answer
    x = 1,064,015.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.