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Finding the Third Proportional to 212,850 and 329,602.50

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Solution

The third proportional to 212,850 and 329,602.50 is: 510,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,850 : 329,602.50 = 329,602.50 : x
  2. Step 2: Convert to fraction form
    212,850/329,602.50 = 329,602.50/x
  3. Step 3: Cross multiply
    212,850x = 329,602.50 × 329,602.50
  4. Step 4: Simplify right side
    212,850x = 108,637,808,006.25
  5. Step 5: Solve for x
    x = 108,637,808,006.25/212,850
  6. Step 6: Final answer
    x = 510,396.09

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