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Finding the Third Proportional to 249,260 and 374,206

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Solution

The third proportional to 249,260 and 374,206 is: 561,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,260 : 374,206 = 374,206 : x
  2. Step 2: Convert to fraction form
    249,260/374,206 = 374,206/x
  3. Step 3: Cross multiply
    249,260x = 374,206 × 374,206
  4. Step 4: Simplify right side
    249,260x = 140,030,130,436
  5. Step 5: Solve for x
    x = 140,030,130,436/249,260
  6. Step 6: Final answer
    x = 561,783.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.