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Finding the Third Proportional to 141,440 and 308,128

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Solution

The third proportional to 141,440 and 308,128 is: 671,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,440 : 308,128 = 308,128 : x
  2. Step 2: Convert to fraction form
    141,440/308,128 = 308,128/x
  3. Step 3: Cross multiply
    141,440x = 308,128 × 308,128
  4. Step 4: Simplify right side
    141,440x = 94,942,864,384
  5. Step 5: Solve for x
    x = 94,942,864,384/141,440
  6. Step 6: Final answer
    x = 671,258.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.