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Finding the Third Proportional to 160,211.50 and 249,065.50

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Solution

The third proportional to 160,211.50 and 249,065.50 is: 387,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,211.50 : 249,065.50 = 249,065.50 : x
  2. Step 2: Convert to fraction form
    160,211.50/249,065.50 = 249,065.50/x
  3. Step 3: Cross multiply
    160,211.50x = 249,065.50 × 249,065.50
  4. Step 4: Simplify right side
    160,211.50x = 62,033,623,290.25
  5. Step 5: Solve for x
    x = 62,033,623,290.25/160,211.50
  6. Step 6: Final answer
    x = 387,198.32

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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.