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Finding the Third Proportional to 114,495 and 249,330

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Solution

The third proportional to 114,495 and 249,330 is: 542,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,495 : 249,330 = 249,330 : x
  2. Step 2: Convert to fraction form
    114,495/249,330 = 249,330/x
  3. Step 3: Cross multiply
    114,495x = 249,330 × 249,330
  4. Step 4: Simplify right side
    114,495x = 62,165,448,900
  5. Step 5: Solve for x
    x = 62,165,448,900/114,495
  6. Step 6: Final answer
    x = 542,953.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.