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Finding the Third Proportional to 109,370 and 235,810

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Solution

The third proportional to 109,370 and 235,810 is: 508,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,370 : 235,810 = 235,810 : x
  2. Step 2: Convert to fraction form
    109,370/235,810 = 235,810/x
  3. Step 3: Cross multiply
    109,370x = 235,810 × 235,810
  4. Step 4: Simplify right side
    109,370x = 55,606,356,100
  5. Step 5: Solve for x
    x = 55,606,356,100/109,370
  6. Step 6: Final answer
    x = 508,424.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.