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Finding the Third Proportional to 136,486.13 and 295,328.25

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Solution

The third proportional to 136,486.13 and 295,328.25 is: 639,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,486.13 : 295,328.25 = 295,328.25 : x
  2. Step 2: Convert to fraction form
    136,486.13/295,328.25 = 295,328.25/x
  3. Step 3: Cross multiply
    136,486.13x = 295,328.25 × 295,328.25
  4. Step 4: Simplify right side
    136,486.13x = 87,218,775,248.06
  5. Step 5: Solve for x
    x = 87,218,775,248.06/136,486.13
  6. Step 6: Final answer
    x = 639,030.34

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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.