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Finding the Third Proportional to 135,303 and 292,056

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Solution

The third proportional to 135,303 and 292,056 is: 630,412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,303 : 292,056 = 292,056 : x
  2. Step 2: Convert to fraction form
    135,303/292,056 = 292,056/x
  3. Step 3: Cross multiply
    135,303x = 292,056 × 292,056
  4. Step 4: Simplify right side
    135,303x = 85,296,707,136
  5. Step 5: Solve for x
    x = 85,296,707,136/135,303
  6. Step 6: Final answer
    x = 630,412.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.