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Finding the Third Proportional to 235,526 and 510,196

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Solution

The third proportional to 235,526 and 510,196 is: 1,105,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,526 : 510,196 = 510,196 : x
  2. Step 2: Convert to fraction form
    235,526/510,196 = 510,196/x
  3. Step 3: Cross multiply
    235,526x = 510,196 × 510,196
  4. Step 4: Simplify right side
    235,526x = 260,299,958,416
  5. Step 5: Solve for x
    x = 260,299,958,416/235,526
  6. Step 6: Final answer
    x = 1,105,185.66

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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.