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Finding the Third Proportional to 133,176 and 288,222

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Solution

The third proportional to 133,176 and 288,222 is: 623,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,176 : 288,222 = 288,222 : x
  2. Step 2: Convert to fraction form
    133,176/288,222 = 288,222/x
  3. Step 3: Cross multiply
    133,176x = 288,222 × 288,222
  4. Step 4: Simplify right side
    133,176x = 83,071,921,284
  5. Step 5: Solve for x
    x = 83,071,921,284/133,176
  6. Step 6: Final answer
    x = 623,775.46

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Why These Related Problems?

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