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Finding the Third Proportional to 107,360 and 249,552

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Solution

The third proportional to 107,360 and 249,552 is: 580,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,360 : 249,552 = 249,552 : x
  2. Step 2: Convert to fraction form
    107,360/249,552 = 249,552/x
  3. Step 3: Cross multiply
    107,360x = 249,552 × 249,552
  4. Step 4: Simplify right side
    107,360x = 62,276,200,704
  5. Step 5: Solve for x
    x = 62,276,200,704/107,360
  6. Step 6: Final answer
    x = 580,068.93

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.