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Finding the Third Proportional to 142,143 and 294,349.50

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Solution

The third proportional to 142,143 and 294,349.50 is: 609,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,143 : 294,349.50 = 294,349.50 : x
  2. Step 2: Convert to fraction form
    142,143/294,349.50 = 294,349.50/x
  3. Step 3: Cross multiply
    142,143x = 294,349.50 × 294,349.50
  4. Step 4: Simplify right side
    142,143x = 86,641,628,150.25
  5. Step 5: Solve for x
    x = 86,641,628,150.25/142,143
  6. Step 6: Final answer
    x = 609,538.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.