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Finding the Third Proportional to 103,095 and 240,878

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Solution

The third proportional to 103,095 and 240,878 is: 562,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,095 : 240,878 = 240,878 : x
  2. Step 2: Convert to fraction form
    103,095/240,878 = 240,878/x
  3. Step 3: Cross multiply
    103,095x = 240,878 × 240,878
  4. Step 4: Simplify right side
    103,095x = 58,022,210,884
  5. Step 5: Solve for x
    x = 58,022,210,884/103,095
  6. Step 6: Final answer
    x = 562,803.35

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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.