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Finding the Third Proportional to 164,845.13 and 306,316.69

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Solution

The third proportional to 164,845.13 and 306,316.69 is: 569,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,845.13 : 306,316.69 = 306,316.69 : x
  2. Step 2: Convert to fraction form
    164,845.13/306,316.69 = 306,316.69/x
  3. Step 3: Cross multiply
    164,845.13x = 306,316.69 × 306,316.69
  4. Step 4: Simplify right side
    164,845.13x = 93,829,913,040.97
  5. Step 5: Solve for x
    x = 93,829,913,040.97/164,845.13
  6. Step 6: Final answer
    x = 569,200.41

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.