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Finding the Third Proportional to 115,624 and 249,820

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Solution

The third proportional to 115,624 and 249,820 is: 539,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,624 : 249,820 = 249,820 : x
  2. Step 2: Convert to fraction form
    115,624/249,820 = 249,820/x
  3. Step 3: Cross multiply
    115,624x = 249,820 × 249,820
  4. Step 4: Simplify right side
    115,624x = 62,410,032,400
  5. Step 5: Solve for x
    x = 62,410,032,400/115,624
  6. Step 6: Final answer
    x = 539,767.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.