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Finding the Third Proportional to 103,106 and 240,905

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Solution

The third proportional to 103,106 and 240,905 is: 562,869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,106 : 240,905 = 240,905 : x
  2. Step 2: Convert to fraction form
    103,106/240,905 = 240,905/x
  3. Step 3: Cross multiply
    103,106x = 240,905 × 240,905
  4. Step 4: Simplify right side
    103,106x = 58,035,219,025
  5. Step 5: Solve for x
    x = 58,035,219,025/103,106
  6. Step 6: Final answer
    x = 562,869.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.