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Finding the Third Proportional to 137,264.63 and 320,684.06

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Solution

The third proportional to 137,264.63 and 320,684.06 is: 749,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,264.63 : 320,684.06 = 320,684.06 : x
  2. Step 2: Convert to fraction form
    137,264.63/320,684.06 = 320,684.06/x
  3. Step 3: Cross multiply
    137,264.63x = 320,684.06 × 320,684.06
  4. Step 4: Simplify right side
    137,264.63x = 102,838,267,941.50
  5. Step 5: Solve for x
    x = 102,838,267,941.50/137,264.63
  6. Step 6: Final answer
    x = 749,197.17

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.