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Finding the Third Proportional to 249,810.75 and 535,315.50

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Solution

The third proportional to 249,810.75 and 535,315.50 is: 1,147,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,810.75 : 535,315.50 = 535,315.50 : x
  2. Step 2: Convert to fraction form
    249,810.75/535,315.50 = 535,315.50/x
  3. Step 3: Cross multiply
    249,810.75x = 535,315.50 × 535,315.50
  4. Step 4: Simplify right side
    249,810.75x = 286,562,684,540.25
  5. Step 5: Solve for x
    x = 286,562,684,540.25/249,810.75
  6. Step 6: Final answer
    x = 1,147,119.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.