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Finding the Third Proportional to 153,705.09 and 232,607.95

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Solution

The third proportional to 153,705.09 and 232,607.95 is: 352,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,705.09 : 232,607.95 = 232,607.95 : x
  2. Step 2: Convert to fraction form
    153,705.09/232,607.95 = 232,607.95/x
  3. Step 3: Cross multiply
    153,705.09x = 232,607.95 × 232,607.95
  4. Step 4: Simplify right side
    153,705.09x = 54,106,459,857.00
  5. Step 5: Solve for x
    x = 54,106,459,857.00/153,705.09
  6. Step 6: Final answer
    x = 352,014.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.