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Finding the Third Proportional to 172,003.50 and 367,547.63

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Solution

The third proportional to 172,003.50 and 367,547.63 is: 785,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,003.50 : 367,547.63 = 367,547.63 : x
  2. Step 2: Convert to fraction form
    172,003.50/367,547.63 = 367,547.63/x
  3. Step 3: Cross multiply
    172,003.50x = 367,547.63 × 367,547.63
  4. Step 4: Simplify right side
    172,003.50x = 135,091,256,643.14
  5. Step 5: Solve for x
    x = 135,091,256,643.14/172,003.50
  6. Step 6: Final answer
    x = 785,398.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.