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Finding the Third Proportional to 216,575 and 333,315

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Solution

The third proportional to 216,575 and 333,315 is: 512,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,575 : 333,315 = 333,315 : x
  2. Step 2: Convert to fraction form
    216,575/333,315 = 333,315/x
  3. Step 3: Cross multiply
    216,575x = 333,315 × 333,315
  4. Step 4: Simplify right side
    216,575x = 111,098,889,225
  5. Step 5: Solve for x
    x = 111,098,889,225/216,575
  6. Step 6: Final answer
    x = 512,981.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.