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Finding the Third Proportional to 169,520 and 249,024

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Solution

The third proportional to 169,520 and 249,024 is: 365,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,520 : 249,024 = 249,024 : x
  2. Step 2: Convert to fraction form
    169,520/249,024 = 249,024/x
  3. Step 3: Cross multiply
    169,520x = 249,024 × 249,024
  4. Step 4: Simplify right side
    169,520x = 62,012,952,576
  5. Step 5: Solve for x
    x = 62,012,952,576/169,520
  6. Step 6: Final answer
    x = 365,814.96

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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.