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Finding the Third Proportional to 134,349.75 and 289,678.50

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Solution

The third proportional to 134,349.75 and 289,678.50 is: 624,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,349.75 : 289,678.50 = 289,678.50 : x
  2. Step 2: Convert to fraction form
    134,349.75/289,678.50 = 289,678.50/x
  3. Step 3: Cross multiply
    134,349.75x = 289,678.50 × 289,678.50
  4. Step 4: Simplify right side
    134,349.75x = 83,913,633,362.25
  5. Step 5: Solve for x
    x = 83,913,633,362.25/134,349.75
  6. Step 6: Final answer
    x = 624,590.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.