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Finding the Third Proportional to 164,017.50 and 245,170.50

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Solution

The third proportional to 164,017.50 and 245,170.50 is: 366,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,017.50 : 245,170.50 = 245,170.50 : x
  2. Step 2: Convert to fraction form
    164,017.50/245,170.50 = 245,170.50/x
  3. Step 3: Cross multiply
    164,017.50x = 245,170.50 × 245,170.50
  4. Step 4: Simplify right side
    164,017.50x = 60,108,574,070.25
  5. Step 5: Solve for x
    x = 60,108,574,070.25/164,017.50
  6. Step 6: Final answer
    x = 366,476.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.