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Finding the Third Proportional to 249,556 and 349,260

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Solution

The third proportional to 249,556 and 349,260 is: 488,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,556 : 349,260 = 349,260 : x
  2. Step 2: Convert to fraction form
    249,556/349,260 = 349,260/x
  3. Step 3: Cross multiply
    249,556x = 349,260 × 349,260
  4. Step 4: Simplify right side
    249,556x = 121,982,547,600
  5. Step 5: Solve for x
    x = 121,982,547,600/249,556
  6. Step 6: Final answer
    x = 488,798.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.