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Finding the Third Proportional to 164,640 and 249,264

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Solution

The third proportional to 164,640 and 249,264 is: 377,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,640 : 249,264 = 249,264 : x
  2. Step 2: Convert to fraction form
    164,640/249,264 = 249,264/x
  3. Step 3: Cross multiply
    164,640x = 249,264 × 249,264
  4. Step 4: Simplify right side
    164,640x = 62,132,541,696
  5. Step 5: Solve for x
    x = 62,132,541,696/164,640
  6. Step 6: Final answer
    x = 377,384.24

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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.