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Finding the Third Proportional to 142,955 and 209,656.50

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Solution

The third proportional to 142,955 and 209,656.50 is: 307,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,955 : 209,656.50 = 209,656.50 : x
  2. Step 2: Convert to fraction form
    142,955/209,656.50 = 209,656.50/x
  3. Step 3: Cross multiply
    142,955x = 209,656.50 × 209,656.50
  4. Step 4: Simplify right side
    142,955x = 43,955,847,992.25
  5. Step 5: Solve for x
    x = 43,955,847,992.25/142,955
  6. Step 6: Final answer
    x = 307,480.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.