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Finding the Third Proportional to 169,584 and 249,176

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Solution

The third proportional to 169,584 and 249,176 is: 366,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,584 : 249,176 = 249,176 : x
  2. Step 2: Convert to fraction form
    169,584/249,176 = 249,176/x
  3. Step 3: Cross multiply
    169,584x = 249,176 × 249,176
  4. Step 4: Simplify right side
    169,584x = 62,088,678,976
  5. Step 5: Solve for x
    x = 62,088,678,976/169,584
  6. Step 6: Final answer
    x = 366,123.45

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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.