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Finding the Third Proportional to 115,588 and 252,056

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Solution

The third proportional to 115,588 and 252,056 is: 549,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,588 : 252,056 = 252,056 : x
  2. Step 2: Convert to fraction form
    115,588/252,056 = 252,056/x
  3. Step 3: Cross multiply
    115,588x = 252,056 × 252,056
  4. Step 4: Simplify right side
    115,588x = 63,532,227,136
  5. Step 5: Solve for x
    x = 63,532,227,136/115,588
  6. Step 6: Final answer
    x = 549,643.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.