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Finding the Third Proportional to 115,597 and 249,806

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Solution

The third proportional to 115,597 and 249,806 is: 539,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,597 : 249,806 = 249,806 : x
  2. Step 2: Convert to fraction form
    115,597/249,806 = 249,806/x
  3. Step 3: Cross multiply
    115,597x = 249,806 × 249,806
  4. Step 4: Simplify right side
    115,597x = 62,403,037,636
  5. Step 5: Solve for x
    x = 62,403,037,636/115,597
  6. Step 6: Final answer
    x = 539,832.67

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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.