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Finding the Third Proportional to 157,393.13 and 237,407.63

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Solution

The third proportional to 157,393.13 and 237,407.63 is: 358,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,393.13 : 237,407.63 = 237,407.63 : x
  2. Step 2: Convert to fraction form
    157,393.13/237,407.63 = 237,407.63/x
  3. Step 3: Cross multiply
    157,393.13x = 237,407.63 × 237,407.63
  4. Step 4: Simplify right side
    157,393.13x = 56,362,380,408.14
  5. Step 5: Solve for x
    x = 56,362,380,408.14/157,393.13
  6. Step 6: Final answer
    x = 358,099.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.