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Finding the Third Proportional to 218,697 and 357,111

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Solution

The third proportional to 218,697 and 357,111 is: 583,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,697 : 357,111 = 357,111 : x
  2. Step 2: Convert to fraction form
    218,697/357,111 = 357,111/x
  3. Step 3: Cross multiply
    218,697x = 357,111 × 357,111
  4. Step 4: Simplify right side
    218,697x = 127,528,266,321
  5. Step 5: Solve for x
    x = 127,528,266,321/218,697
  6. Step 6: Final answer
    x = 583,127.64

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.