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Finding the Third Proportional to 169,428 and 249,214

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Solution

The third proportional to 169,428 and 249,214 is: 366,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,428 : 249,214 = 249,214 : x
  2. Step 2: Convert to fraction form
    169,428/249,214 = 249,214/x
  3. Step 3: Cross multiply
    169,428x = 249,214 × 249,214
  4. Step 4: Simplify right side
    169,428x = 62,107,617,796
  5. Step 5: Solve for x
    x = 62,107,617,796/169,428
  6. Step 6: Final answer
    x = 366,572.34

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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.