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Finding the Third Proportional to 169,526 and 249,104

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Solution

The third proportional to 169,526 and 249,104 is: 366,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,526 : 249,104 = 249,104 : x
  2. Step 2: Convert to fraction form
    169,526/249,104 = 249,104/x
  3. Step 3: Cross multiply
    169,526x = 249,104 × 249,104
  4. Step 4: Simplify right side
    169,526x = 62,052,802,816
  5. Step 5: Solve for x
    x = 62,052,802,816/169,526
  6. Step 6: Final answer
    x = 366,037.08

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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.