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Finding the Third Proportional to 164,952 and 359,428.50

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Solution

The third proportional to 164,952 and 359,428.50 is: 783,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,952 : 359,428.50 = 359,428.50 : x
  2. Step 2: Convert to fraction form
    164,952/359,428.50 = 359,428.50/x
  3. Step 3: Cross multiply
    164,952x = 359,428.50 × 359,428.50
  4. Step 4: Simplify right side
    164,952x = 129,188,846,612.25
  5. Step 5: Solve for x
    x = 129,188,846,612.25/164,952
  6. Step 6: Final answer
    x = 783,190.54

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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.