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Finding the Third Proportional to 175,161 and 249,616.50

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Solution

The third proportional to 175,161 and 249,616.50 is: 355,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,161 : 249,616.50 = 249,616.50 : x
  2. Step 2: Convert to fraction form
    175,161/249,616.50 = 249,616.50/x
  3. Step 3: Cross multiply
    175,161x = 249,616.50 × 249,616.50
  4. Step 4: Simplify right side
    175,161x = 62,308,397,072.25
  5. Step 5: Solve for x
    x = 62,308,397,072.25/175,161
  6. Step 6: Final answer
    x = 355,720.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.