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Finding the Third Proportional to 141,462 and 307,804.50

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Solution

The third proportional to 141,462 and 307,804.50 is: 669,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,462 : 307,804.50 = 307,804.50 : x
  2. Step 2: Convert to fraction form
    141,462/307,804.50 = 307,804.50/x
  3. Step 3: Cross multiply
    141,462x = 307,804.50 × 307,804.50
  4. Step 4: Simplify right side
    141,462x = 94,743,610,220.25
  5. Step 5: Solve for x
    x = 94,743,610,220.25/141,462
  6. Step 6: Final answer
    x = 669,746.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.