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Finding the Third Proportional to 134,835 and 294,886.50

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Solution

The third proportional to 134,835 and 294,886.50 is: 644,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,835 : 294,886.50 = 294,886.50 : x
  2. Step 2: Convert to fraction form
    134,835/294,886.50 = 294,886.50/x
  3. Step 3: Cross multiply
    134,835x = 294,886.50 × 294,886.50
  4. Step 4: Simplify right side
    134,835x = 86,958,047,882.25
  5. Step 5: Solve for x
    x = 86,958,047,882.25/134,835
  6. Step 6: Final answer
    x = 644,921.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.