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Finding the Third Proportional to 232,173 and 508,090.50

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Solution

The third proportional to 232,173 and 508,090.50 is: 1,111,912.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,173 : 508,090.50 = 508,090.50 : x
  2. Step 2: Convert to fraction form
    232,173/508,090.50 = 508,090.50/x
  3. Step 3: Cross multiply
    232,173x = 508,090.50 × 508,090.50
  4. Step 4: Simplify right side
    232,173x = 258,155,956,190.25
  5. Step 5: Solve for x
    x = 258,155,956,190.25/232,173
  6. Step 6: Final answer
    x = 1,111,912.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.