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Finding the Third Proportional to 169,488 and 249,040

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Solution

The third proportional to 169,488 and 249,040 is: 365,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,488 : 249,040 = 249,040 : x
  2. Step 2: Convert to fraction form
    169,488/249,040 = 249,040/x
  3. Step 3: Cross multiply
    169,488x = 249,040 × 249,040
  4. Step 4: Simplify right side
    169,488x = 62,020,921,600
  5. Step 5: Solve for x
    x = 62,020,921,600/169,488
  6. Step 6: Final answer
    x = 365,931.05

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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.