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Finding the Third Proportional to 160,441.50 and 249,438

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Solution

The third proportional to 160,441.50 and 249,438 is: 387,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,441.50 : 249,438 = 249,438 : x
  2. Step 2: Convert to fraction form
    160,441.50/249,438 = 249,438/x
  3. Step 3: Cross multiply
    160,441.50x = 249,438 × 249,438
  4. Step 4: Simplify right side
    160,441.50x = 62,219,315,844
  5. Step 5: Solve for x
    x = 62,219,315,844/160,441.50
  6. Step 6: Final answer
    x = 387,800.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.