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Finding the Third Proportional to 161,202 and 249,366.50

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Solution

The third proportional to 161,202 and 249,366.50 is: 385,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,202 : 249,366.50 = 249,366.50 : x
  2. Step 2: Convert to fraction form
    161,202/249,366.50 = 249,366.50/x
  3. Step 3: Cross multiply
    161,202x = 249,366.50 × 249,366.50
  4. Step 4: Simplify right side
    161,202x = 62,183,651,322.25
  5. Step 5: Solve for x
    x = 62,183,651,322.25/161,202
  6. Step 6: Final answer
    x = 385,749.87

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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.