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Finding the Third Proportional to 161,088 and 348,724.50

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Solution

The third proportional to 161,088 and 348,724.50 is: 754,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,088 : 348,724.50 = 348,724.50 : x
  2. Step 2: Convert to fraction form
    161,088/348,724.50 = 348,724.50/x
  3. Step 3: Cross multiply
    161,088x = 348,724.50 × 348,724.50
  4. Step 4: Simplify right side
    161,088x = 121,608,776,900.25
  5. Step 5: Solve for x
    x = 121,608,776,900.25/161,088
  6. Step 6: Final answer
    x = 754,921.39

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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.