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Finding the Third Proportional to 249,044 and 373,820

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Solution

The third proportional to 249,044 and 373,820 is: 561,111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,044 : 373,820 = 373,820 : x
  2. Step 2: Convert to fraction form
    249,044/373,820 = 373,820/x
  3. Step 3: Cross multiply
    249,044x = 373,820 × 373,820
  4. Step 4: Simplify right side
    249,044x = 139,741,392,400
  5. Step 5: Solve for x
    x = 139,741,392,400/249,044
  6. Step 6: Final answer
    x = 561,111.26

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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.