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Finding the Third Proportional to 173,403 and 368,959

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Solution

The third proportional to 173,403 and 368,959 is: 785,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,403 : 368,959 = 368,959 : x
  2. Step 2: Convert to fraction form
    173,403/368,959 = 368,959/x
  3. Step 3: Cross multiply
    173,403x = 368,959 × 368,959
  4. Step 4: Simplify right side
    173,403x = 136,130,743,681
  5. Step 5: Solve for x
    x = 136,130,743,681/173,403
  6. Step 6: Final answer
    x = 785,054.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.