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Finding the Third Proportional to 157,649.63 and 238,114.69

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Solution

The third proportional to 157,649.63 and 238,114.69 is: 359,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,649.63 : 238,114.69 = 238,114.69 : x
  2. Step 2: Convert to fraction form
    157,649.63/238,114.69 = 238,114.69/x
  3. Step 3: Cross multiply
    157,649.63x = 238,114.69 × 238,114.69
  4. Step 4: Simplify right side
    157,649.63x = 56,698,604,403.22
  5. Step 5: Solve for x
    x = 56,698,604,403.22/157,649.63
  6. Step 6: Final answer
    x = 359,649.47

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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.