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Finding the Third Proportional to 152,985 and 236,308.50

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Solution

The third proportional to 152,985 and 236,308.50 is: 365,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,985 : 236,308.50 = 236,308.50 : x
  2. Step 2: Convert to fraction form
    152,985/236,308.50 = 236,308.50/x
  3. Step 3: Cross multiply
    152,985x = 236,308.50 × 236,308.50
  4. Step 4: Simplify right side
    152,985x = 55,841,707,172.25
  5. Step 5: Solve for x
    x = 55,841,707,172.25/152,985
  6. Step 6: Final answer
    x = 365,014.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.