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Finding the Third Proportional to 141,602 and 306,148

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Solution

The third proportional to 141,602 and 306,148 is: 661,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,602 : 306,148 = 306,148 : x
  2. Step 2: Convert to fraction form
    141,602/306,148 = 306,148/x
  3. Step 3: Cross multiply
    141,602x = 306,148 × 306,148
  4. Step 4: Simplify right side
    141,602x = 93,726,597,904
  5. Step 5: Solve for x
    x = 93,726,597,904/141,602
  6. Step 6: Final answer
    x = 661,901.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.