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Finding the Third Proportional to 175,464 and 385,072

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Solution

The third proportional to 175,464 and 385,072 is: 845,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,464 : 385,072 = 385,072 : x
  2. Step 2: Convert to fraction form
    175,464/385,072 = 385,072/x
  3. Step 3: Cross multiply
    175,464x = 385,072 × 385,072
  4. Step 4: Simplify right side
    175,464x = 148,280,445,184
  5. Step 5: Solve for x
    x = 148,280,445,184/175,464
  6. Step 6: Final answer
    x = 845,076.17

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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.