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Finding the Third Proportional to 133,038 and 210,624

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Solution

The third proportional to 133,038 and 210,624 is: 333,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038 : 210,624 = 210,624 : x
  2. Step 2: Convert to fraction form
    133,038/210,624 = 210,624/x
  3. Step 3: Cross multiply
    133,038x = 210,624 × 210,624
  4. Step 4: Simplify right side
    133,038x = 44,362,469,376
  5. Step 5: Solve for x
    x = 44,362,469,376/133,038
  6. Step 6: Final answer
    x = 333,457.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.