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Finding the Third Proportional to 169,350 and 249,346.50

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Solution

The third proportional to 169,350 and 249,346.50 is: 367,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,350 : 249,346.50 = 249,346.50 : x
  2. Step 2: Convert to fraction form
    169,350/249,346.50 = 249,346.50/x
  3. Step 3: Cross multiply
    169,350x = 249,346.50 × 249,346.50
  4. Step 4: Simplify right side
    169,350x = 62,173,677,062.25
  5. Step 5: Solve for x
    x = 62,173,677,062.25/169,350
  6. Step 6: Final answer
    x = 367,131.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.