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Finding the Third Proportional to 102,480 and 221,344

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Solution

The third proportional to 102,480 and 221,344 is: 478,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,480 : 221,344 = 221,344 : x
  2. Step 2: Convert to fraction form
    102,480/221,344 = 221,344/x
  3. Step 3: Cross multiply
    102,480x = 221,344 × 221,344
  4. Step 4: Simplify right side
    102,480x = 48,993,166,336
  5. Step 5: Solve for x
    x = 48,993,166,336/102,480
  6. Step 6: Final answer
    x = 478,075.39

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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.