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Finding the Third Proportional to 113,800 and 249,369

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Solution

The third proportional to 113,800 and 249,369 is: 546,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,800 : 249,369 = 249,369 : x
  2. Step 2: Convert to fraction form
    113,800/249,369 = 249,369/x
  3. Step 3: Cross multiply
    113,800x = 249,369 × 249,369
  4. Step 4: Simplify right side
    113,800x = 62,184,898,161
  5. Step 5: Solve for x
    x = 62,184,898,161/113,800
  6. Step 6: Final answer
    x = 546,440.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.