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Finding the Third Proportional to 134,904.75 and 288,501.75

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Solution

The third proportional to 134,904.75 and 288,501.75 is: 616,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,904.75 : 288,501.75 = 288,501.75 : x
  2. Step 2: Convert to fraction form
    134,904.75/288,501.75 = 288,501.75/x
  3. Step 3: Cross multiply
    134,904.75x = 288,501.75 × 288,501.75
  4. Step 4: Simplify right side
    134,904.75x = 83,233,259,753.06
  5. Step 5: Solve for x
    x = 83,233,259,753.06/134,904.75
  6. Step 6: Final answer
    x = 616,977.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.