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Finding the Third Proportional to 221,312.25 and 336,038.63

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Solution

The third proportional to 221,312.25 and 336,038.63 is: 510,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,312.25 : 336,038.63 = 336,038.63 : x
  2. Step 2: Convert to fraction form
    221,312.25/336,038.63 = 336,038.63/x
  3. Step 3: Cross multiply
    221,312.25x = 336,038.63 × 336,038.63
  4. Step 4: Simplify right side
    221,312.25x = 112,921,957,491.89
  5. Step 5: Solve for x
    x = 112,921,957,491.89/221,312.25
  6. Step 6: Final answer
    x = 510,238.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.