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Finding the Third Proportional to 157,407.05 and 177,090.05

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Solution

The third proportional to 157,407.05 and 177,090.05 is: 199,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,407.05 : 177,090.05 = 177,090.05 : x
  2. Step 2: Convert to fraction form
    157,407.05/177,090.05 = 177,090.05/x
  3. Step 3: Cross multiply
    157,407.05x = 177,090.05 × 177,090.05
  4. Step 4: Simplify right side
    157,407.05x = 31,360,884,702.19
  5. Step 5: Solve for x
    x = 31,360,884,702.19/157,407.05
  6. Step 6: Final answer
    x = 199,234.31

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.