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Finding the Third Proportional to 115,506 and 249,966

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Solution

The third proportional to 115,506 and 249,966 is: 540,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,506 : 249,966 = 249,966 : x
  2. Step 2: Convert to fraction form
    115,506/249,966 = 249,966/x
  3. Step 3: Cross multiply
    115,506x = 249,966 × 249,966
  4. Step 4: Simplify right side
    115,506x = 62,483,001,156
  5. Step 5: Solve for x
    x = 62,483,001,156/115,506
  6. Step 6: Final answer
    x = 540,950.26

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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.