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Finding the Third Proportional to 212,030.25 and 297,158.25

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Solution

The third proportional to 212,030.25 and 297,158.25 is: 416,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,030.25 : 297,158.25 = 297,158.25 : x
  2. Step 2: Convert to fraction form
    212,030.25/297,158.25 = 297,158.25/x
  3. Step 3: Cross multiply
    212,030.25x = 297,158.25 × 297,158.25
  4. Step 4: Simplify right side
    212,030.25x = 88,303,025,543.06
  5. Step 5: Solve for x
    x = 88,303,025,543.06/212,030.25
  6. Step 6: Final answer
    x = 416,464.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.