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Finding the Third Proportional to 170,266.50 and 358,178.25

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Solution

The third proportional to 170,266.50 and 358,178.25 is: 753,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,266.50 : 358,178.25 = 358,178.25 : x
  2. Step 2: Convert to fraction form
    170,266.50/358,178.25 = 358,178.25/x
  3. Step 3: Cross multiply
    170,266.50x = 358,178.25 × 358,178.25
  4. Step 4: Simplify right side
    170,266.50x = 128,291,658,773.06
  5. Step 5: Solve for x
    x = 128,291,658,773.06/170,266.50
  6. Step 6: Final answer
    x = 753,475.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.