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Finding the Third Proportional to 212,955 and 329,692.50

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Solution

The third proportional to 212,955 and 329,692.50 is: 510,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,955 : 329,692.50 = 329,692.50 : x
  2. Step 2: Convert to fraction form
    212,955/329,692.50 = 329,692.50/x
  3. Step 3: Cross multiply
    212,955x = 329,692.50 × 329,692.50
  4. Step 4: Simplify right side
    212,955x = 108,697,144,556.25
  5. Step 5: Solve for x
    x = 108,697,144,556.25/212,955
  6. Step 6: Final answer
    x = 510,423.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.