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Finding the Third Proportional to 169,602 and 249,219

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Solution

The third proportional to 169,602 and 249,219 is: 366,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,602 : 249,219 = 249,219 : x
  2. Step 2: Convert to fraction form
    169,602/249,219 = 249,219/x
  3. Step 3: Cross multiply
    169,602x = 249,219 × 249,219
  4. Step 4: Simplify right side
    169,602x = 62,110,109,961
  5. Step 5: Solve for x
    x = 62,110,109,961/169,602
  6. Step 6: Final answer
    x = 366,210.95

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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.