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Finding the Third Proportional to 164,625 and 249,232.50

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Solution

The third proportional to 164,625 and 249,232.50 is: 377,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,625 : 249,232.50 = 249,232.50 : x
  2. Step 2: Convert to fraction form
    164,625/249,232.50 = 249,232.50/x
  3. Step 3: Cross multiply
    164,625x = 249,232.50 × 249,232.50
  4. Step 4: Simplify right side
    164,625x = 62,116,839,056.25
  5. Step 5: Solve for x
    x = 62,116,839,056.25/164,625
  6. Step 6: Final answer
    x = 377,323.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.