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Finding the Third Proportional to 157,653 and 236,638.13

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Solution

The third proportional to 157,653 and 236,638.13 is: 355,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,653 : 236,638.13 = 236,638.13 : x
  2. Step 2: Convert to fraction form
    157,653/236,638.13 = 236,638.13/x
  3. Step 3: Cross multiply
    157,653x = 236,638.13 × 236,638.13
  4. Step 4: Simplify right side
    157,653x = 55,997,602,203.52
  5. Step 5: Solve for x
    x = 55,997,602,203.52/157,653
  6. Step 6: Final answer
    x = 355,195.28

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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.