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Finding the Third Proportional to 157,895 and 346,377

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Solution

The third proportional to 157,895 and 346,377 is: 759,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,895 : 346,377 = 346,377 : x
  2. Step 2: Convert to fraction form
    157,895/346,377 = 346,377/x
  3. Step 3: Cross multiply
    157,895x = 346,377 × 346,377
  4. Step 4: Simplify right side
    157,895x = 119,977,026,129
  5. Step 5: Solve for x
    x = 119,977,026,129/157,895
  6. Step 6: Final answer
    x = 759,853.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.