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Finding the Third Proportional to 103,487 and 223,585

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Solution

The third proportional to 103,487 and 223,585 is: 483,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,487 : 223,585 = 223,585 : x
  2. Step 2: Convert to fraction form
    103,487/223,585 = 223,585/x
  3. Step 3: Cross multiply
    103,487x = 223,585 × 223,585
  4. Step 4: Simplify right side
    103,487x = 49,990,252,225
  5. Step 5: Solve for x
    x = 49,990,252,225/103,487
  6. Step 6: Final answer
    x = 483,058.28

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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.