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Finding the Third Proportional to 74,689.50 and 163,365

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Solution

The third proportional to 74,689.50 and 163,365 is: 357,320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,689.50 : 163,365 = 163,365 : x
  2. Step 2: Convert to fraction form
    74,689.50/163,365 = 163,365/x
  3. Step 3: Cross multiply
    74,689.50x = 163,365 × 163,365
  4. Step 4: Simplify right side
    74,689.50x = 26,688,123,225
  5. Step 5: Solve for x
    x = 26,688,123,225/74,689.50
  6. Step 6: Final answer
    x = 357,320.95

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Why These Related Problems?

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