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Finding the Third Proportional to 157,030 and 348,889

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Solution

The third proportional to 157,030 and 348,889 is: 775,161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,030 : 348,889 = 348,889 : x
  2. Step 2: Convert to fraction form
    157,030/348,889 = 348,889/x
  3. Step 3: Cross multiply
    157,030x = 348,889 × 348,889
  4. Step 4: Simplify right side
    157,030x = 121,723,534,321
  5. Step 5: Solve for x
    x = 121,723,534,321/157,030
  6. Step 6: Final answer
    x = 775,161.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.