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Finding the Third Proportional to 144,136 and 215,628

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Solution

The third proportional to 144,136 and 215,628 is: 322,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,136 : 215,628 = 215,628 : x
  2. Step 2: Convert to fraction form
    144,136/215,628 = 215,628/x
  3. Step 3: Cross multiply
    144,136x = 215,628 × 215,628
  4. Step 4: Simplify right side
    144,136x = 46,495,434,384
  5. Step 5: Solve for x
    x = 46,495,434,384/144,136
  6. Step 6: Final answer
    x = 322,580.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.