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Finding the Third Proportional to 164,088 and 339,562.50

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Solution

The third proportional to 164,088 and 339,562.50 is: 702,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,088 : 339,562.50 = 339,562.50 : x
  2. Step 2: Convert to fraction form
    164,088/339,562.50 = 339,562.50/x
  3. Step 3: Cross multiply
    164,088x = 339,562.50 × 339,562.50
  4. Step 4: Simplify right side
    164,088x = 115,302,691,406.25
  5. Step 5: Solve for x
    x = 115,302,691,406.25/164,088
  6. Step 6: Final answer
    x = 702,688.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.