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Finding the Third Proportional to 157,860.50 and 348,944

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Solution

The third proportional to 157,860.50 and 348,944 is: 771,326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,860.50 : 348,944 = 348,944 : x
  2. Step 2: Convert to fraction form
    157,860.50/348,944 = 348,944/x
  3. Step 3: Cross multiply
    157,860.50x = 348,944 × 348,944
  4. Step 4: Simplify right side
    157,860.50x = 121,761,915,136
  5. Step 5: Solve for x
    x = 121,761,915,136/157,860.50
  6. Step 6: Final answer
    x = 771,326.05

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.