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Finding the Third Proportional to 235,507.50 and 510,111

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Solution

The third proportional to 235,507.50 and 510,111 is: 1,104,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,507.50 : 510,111 = 510,111 : x
  2. Step 2: Convert to fraction form
    235,507.50/510,111 = 510,111/x
  3. Step 3: Cross multiply
    235,507.50x = 510,111 × 510,111
  4. Step 4: Simplify right side
    235,507.50x = 260,213,232,321
  5. Step 5: Solve for x
    x = 260,213,232,321/235,507.50
  6. Step 6: Final answer
    x = 1,104,904.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.