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Finding the Third Proportional to 132,258 and 293,944.50

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Solution

The third proportional to 132,258 and 293,944.50 is: 653,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,258 : 293,944.50 = 293,944.50 : x
  2. Step 2: Convert to fraction form
    132,258/293,944.50 = 293,944.50/x
  3. Step 3: Cross multiply
    132,258x = 293,944.50 × 293,944.50
  4. Step 4: Simplify right side
    132,258x = 86,403,369,080.25
  5. Step 5: Solve for x
    x = 86,403,369,080.25/132,258
  6. Step 6: Final answer
    x = 653,294.08

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.