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Finding the Third Proportional to 157,046 and 340,852

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Solution

The third proportional to 157,046 and 340,852 is: 739,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,046 : 340,852 = 340,852 : x
  2. Step 2: Convert to fraction form
    157,046/340,852 = 340,852/x
  3. Step 3: Cross multiply
    157,046x = 340,852 × 340,852
  4. Step 4: Simplify right side
    157,046x = 116,180,085,904
  5. Step 5: Solve for x
    x = 116,180,085,904/157,046
  6. Step 6: Final answer
    x = 739,783.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.