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Finding the Third Proportional to 164,608 and 249,224

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Solution

The third proportional to 164,608 and 249,224 is: 377,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,608 : 249,224 = 249,224 : x
  2. Step 2: Convert to fraction form
    164,608/249,224 = 249,224/x
  3. Step 3: Cross multiply
    164,608x = 249,224 × 249,224
  4. Step 4: Simplify right side
    164,608x = 62,112,602,176
  5. Step 5: Solve for x
    x = 62,112,602,176/164,608
  6. Step 6: Final answer
    x = 377,336.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.