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Finding the Third Proportional to 164,565 and 249,156

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Solution

The third proportional to 164,565 and 249,156 is: 377,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,565 : 249,156 = 249,156 : x
  2. Step 2: Convert to fraction form
    164,565/249,156 = 249,156/x
  3. Step 3: Cross multiply
    164,565x = 249,156 × 249,156
  4. Step 4: Simplify right side
    164,565x = 62,078,712,336
  5. Step 5: Solve for x
    x = 62,078,712,336/164,565
  6. Step 6: Final answer
    x = 377,229.13

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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.