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Finding the Third Proportional to 114,507 and 249,426

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Solution

The third proportional to 114,507 and 249,426 is: 543,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,507 : 249,426 = 249,426 : x
  2. Step 2: Convert to fraction form
    114,507/249,426 = 249,426/x
  3. Step 3: Cross multiply
    114,507x = 249,426 × 249,426
  4. Step 4: Simplify right side
    114,507x = 62,213,329,476
  5. Step 5: Solve for x
    x = 62,213,329,476/114,507
  6. Step 6: Final answer
    x = 543,314.64

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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.