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Finding the Third Proportional to 136,575 and 298,056

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Solution

The third proportional to 136,575 and 298,056 is: 650,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,575 : 298,056 = 298,056 : x
  2. Step 2: Convert to fraction form
    136,575/298,056 = 298,056/x
  3. Step 3: Cross multiply
    136,575x = 298,056 × 298,056
  4. Step 4: Simplify right side
    136,575x = 88,837,379,136
  5. Step 5: Solve for x
    x = 88,837,379,136/136,575
  6. Step 6: Final answer
    x = 650,465.89

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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.