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Finding the Third Proportional to 249,750 and 535,230

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Solution

The third proportional to 249,750 and 535,230 is: 1,147,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,750 : 535,230 = 535,230 : x
  2. Step 2: Convert to fraction form
    249,750/535,230 = 535,230/x
  3. Step 3: Cross multiply
    249,750x = 535,230 × 535,230
  4. Step 4: Simplify right side
    249,750x = 286,471,152,900
  5. Step 5: Solve for x
    x = 286,471,152,900/249,750
  6. Step 6: Final answer
    x = 1,147,031.64

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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.