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Finding the Third Proportional to 157,830.50 and 212,647.75

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Solution

The third proportional to 157,830.50 and 212,647.75 is: 286,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,830.50 : 212,647.75 = 212,647.75 : x
  2. Step 2: Convert to fraction form
    157,830.50/212,647.75 = 212,647.75/x
  3. Step 3: Cross multiply
    157,830.50x = 212,647.75 × 212,647.75
  4. Step 4: Simplify right side
    157,830.50x = 45,219,065,580.06
  5. Step 5: Solve for x
    x = 45,219,065,580.06/157,830.50
  6. Step 6: Final answer
    x = 286,503.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.