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Finding the Third Proportional to 175,040 and 375,008

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Solution

The third proportional to 175,040 and 375,008 is: 803,422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,040 : 375,008 = 375,008 : x
  2. Step 2: Convert to fraction form
    175,040/375,008 = 375,008/x
  3. Step 3: Cross multiply
    175,040x = 375,008 × 375,008
  4. Step 4: Simplify right side
    175,040x = 140,631,000,064
  5. Step 5: Solve for x
    x = 140,631,000,064/175,040
  6. Step 6: Final answer
    x = 803,422.08

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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.