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Finding the Third Proportional to 152,237 and 216,378.50

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Solution

The third proportional to 152,237 and 216,378.50 is: 307,544.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,237 : 216,378.50 = 216,378.50 : x
  2. Step 2: Convert to fraction form
    152,237/216,378.50 = 216,378.50/x
  3. Step 3: Cross multiply
    152,237x = 216,378.50 × 216,378.50
  4. Step 4: Simplify right side
    152,237x = 46,819,655,262.25
  5. Step 5: Solve for x
    x = 46,819,655,262.25/152,237
  6. Step 6: Final answer
    x = 307,544.52

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.