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Finding the Third Proportional to 147,656.67 and 221,438.81

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Solution

The third proportional to 147,656.67 and 221,438.81 is: 332,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,656.67 : 221,438.81 = 221,438.81 : x
  2. Step 2: Convert to fraction form
    147,656.67/221,438.81 = 221,438.81/x
  3. Step 3: Cross multiply
    147,656.67x = 221,438.81 × 221,438.81
  4. Step 4: Simplify right side
    147,656.67x = 49,035,147,681.41
  5. Step 5: Solve for x
    x = 49,035,147,681.41/147,656.67
  6. Step 6: Final answer
    x = 332,088.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.