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Finding the Third Proportional to 161,200.13 and 249,211.69

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Solution

The third proportional to 161,200.13 and 249,211.69 is: 385,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,200.13 : 249,211.69 = 249,211.69 : x
  2. Step 2: Convert to fraction form
    161,200.13/249,211.69 = 249,211.69/x
  3. Step 3: Cross multiply
    161,200.13x = 249,211.69 × 249,211.69
  4. Step 4: Simplify right side
    161,200.13x = 62,106,465,186.60
  5. Step 5: Solve for x
    x = 62,106,465,186.60/161,200.13
  6. Step 6: Final answer
    x = 385,275.54

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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.