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Finding the Third Proportional to 114,008.50 and 249,907.50

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Solution

The third proportional to 114,008.50 and 249,907.50 is: 547,799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,008.50 : 249,907.50 = 249,907.50 : x
  2. Step 2: Convert to fraction form
    114,008.50/249,907.50 = 249,907.50/x
  3. Step 3: Cross multiply
    114,008.50x = 249,907.50 × 249,907.50
  4. Step 4: Simplify right side
    114,008.50x = 62,453,758,556.25
  5. Step 5: Solve for x
    x = 62,453,758,556.25/114,008.50
  6. Step 6: Final answer
    x = 547,799.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.