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Finding the Third Proportional to 164,656 and 249,296

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Solution

The third proportional to 164,656 and 249,296 is: 377,444.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,656 : 249,296 = 249,296 : x
  2. Step 2: Convert to fraction form
    164,656/249,296 = 249,296/x
  3. Step 3: Cross multiply
    164,656x = 249,296 × 249,296
  4. Step 4: Simplify right side
    164,656x = 62,148,495,616
  5. Step 5: Solve for x
    x = 62,148,495,616/164,656
  6. Step 6: Final answer
    x = 377,444.46

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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.