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Finding the Third Proportional to 132,273 and 312,187.50

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Solution

The third proportional to 132,273 and 312,187.50 is: 736,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,273 : 312,187.50 = 312,187.50 : x
  2. Step 2: Convert to fraction form
    132,273/312,187.50 = 312,187.50/x
  3. Step 3: Cross multiply
    132,273x = 312,187.50 × 312,187.50
  4. Step 4: Simplify right side
    132,273x = 97,461,035,156.25
  5. Step 5: Solve for x
    x = 97,461,035,156.25/132,273
  6. Step 6: Final answer
    x = 736,817.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.