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Finding the Third Proportional to 172,001 and 259,009.50

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Solution

The third proportional to 172,001 and 259,009.50 is: 390,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,001 : 259,009.50 = 259,009.50 : x
  2. Step 2: Convert to fraction form
    172,001/259,009.50 = 259,009.50/x
  3. Step 3: Cross multiply
    172,001x = 259,009.50 × 259,009.50
  4. Step 4: Simplify right side
    172,001x = 67,085,921,090.25
  5. Step 5: Solve for x
    x = 67,085,921,090.25/172,001
  6. Step 6: Final answer
    x = 390,032.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.